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2248764 = 2237191409
BaseRepresentation
bin1000100101000000111100
311020020201120
420211000330
51033430024
6120110540
725054110
oct10450074
94206646
102248764
1112a6591
12905450
1360973b
14427740
152e6479
hex22503c

2248764 has 48 divisors (see below), whose sum is σ = 6316800. Its totient is φ = 608256.

The previous prime is 2248759. The next prime is 2248769. The reversal of 2248764 is 4678422.

2248764 = T477 + T478 + ... + T495.

It is an interprime number because it is at equal distance from previous prime (2248759) and next prime (2248769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892 + ... + 2300.

It is an arithmetic number, because the mean of its divisors is an integer number (131600).

22248764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158400).

2248764 is an abundant number, since it is smaller than the sum of its proper divisors (4068036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2248764 is a wasteful number, since it uses less digits than its factorization.

2248764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1440 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 2248764 is about 1499.5879434031. The cubic root of 2248764 is about 131.0130709720.

The spelling of 2248764 in words is "two million, two hundred forty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1409 1596 2818 4227 5636 8454 9863 16908 19726 26771 29589 39452 53542 59178 80313 107084 118356 160626 187397 321252 374794 562191 749588 1124382 2248764