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22960896 = 28374271
BaseRepresentation
bin101011110010…
…1101100000000
31121012112102120
41113211230000
521334222041
62140044240
7366110250
oct127455400
947175376
1022960896
1111a62952
127833680
1349ac03a
143099960
152038366
hex15e5b00

22960896 has 72 divisors (see below), whose sum is σ = 69855744. Its totient is φ = 6558720.

The previous prime is 22960891. The next prime is 22960901. The reversal of 22960896 is 69806922.

It is an interprime number because it is at equal distance from previous prime (22960891) and next prime (22960901).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (22960891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3241 + ... + 7511.

Almost surely, 222960896 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 22960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34927872).

22960896 is an abundant number, since it is smaller than the sum of its proper divisors (46894848).

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

22960896 is an equidigital number, since it uses as much as digits as its factorization.

22960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 22960896 is about 4791.7529151658. The cubic root of 22960896 is about 284.2254376120.

The spelling of 22960896 in words is "twenty-two million, nine hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 4271 5376 8542 12813 17084 25626 29897 34168 51252 59794 68336 89691 102504 119588 136672 179382 205008 239176 273344 358764 410016 478352 546688 717528 820032 956704 1093376 1435056 1640064 1913408 2870112 3280128 3826816 5740224 7653632 11480448 22960896