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2249664 = 26311717
BaseRepresentation
bin1000100101001111000000
311020021221220
420211033000
51033442124
6120115040
725056534
oct10451700
94207856
102249664
1112a722a
12905a80
13609c81
14427bc4
152e6879
hex2253c0

2249664 has 28 divisors (see below), whose sum is σ = 5952744. Its totient is φ = 749824.

The previous prime is 2249633. The next prime is 2249693. The reversal of 2249664 is 4669422.

It is a happy number.

It is a super-2 number, since 2×22496642 = 10121976225792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5667 + ... + 6050.

It is an arithmetic number, because the mean of its divisors is an integer number (212598).

22249664 is an apocalyptic number.

2249664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2249664 is an abundant number, since it is smaller than the sum of its proper divisors (3703080).

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

2249664 is a wasteful number, since it uses less digits than its factorization.

2249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11732 (or 11722 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 2249664 is about 1499.8879958184. The cubic root of 2249664 is about 131.0305466516.

The spelling of 2249664 in words is "two million, two hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 11717 23434 35151 46868 70302 93736 140604 187472 281208 374944 562416 749888 1124832 2249664