diff --git a/django/db/models/fields/__init__.py b/django/db/models/fields/__init__.py
index e4e4f6cf24..f8be146826 100644
--- a/django/db/models/fields/__init__.py
+++ b/django/db/models/fields/__init__.py
@@ -724,8 +724,9 @@ class IntegerField(Field):
         return int(value)
 
     def get_db_prep_lookup(self, lookup_type, value):
-        if lookup_type == 'gte' or lookup_type == 'lt':
-            value = math.ceil(value)
+        if (lookup_type == 'gte' or lookup_type == 'lt') \
+           and isinstance(value, float):
+                value = math.ceil(value)
         return super(IntegerField, self).get_db_prep_lookup(lookup_type, value)
 
     def get_internal_type(self):