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22961328 = 24313311187
BaseRepresentation
bin101011110010…
…1110010110000
31121012120000120
41113211302300
521334230303
62140050240
7366111435
oct127456260
947176016
1022961328
1111a63205
127833980
1349ac2b0
143099b8c
152038553
hex15e5cb0

22961328 has 80 divisors (see below), whose sum is σ = 65995776. Its totient is φ = 6831360.

The previous prime is 22961327. The next prime is 22961363. The reversal of 22961328 is 82316922.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22961327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18751 + ... + 19937.

Almost surely, 222961328 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 22961328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997888).

22961328 is an abundant number, since it is smaller than the sum of its proper divisors (43034448).

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

22961328 is a wasteful number, since it uses less digits than its factorization.

22961328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1236 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 22961328 is about 4791.7979924033. The cubic root of 22961328 is about 284.2272201298.

The spelling of 22961328 in words is "twenty-two million, nine hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1187 1209 1488 1612 2374 2418 3224 3561 4748 4836 6448 7122 9496 9672 14244 15431 18992 19344 28488 30862 36797 46293 56976 61724 73594 92586 110391 123448 147188 185172 220782 246896 294376 370344 441564 478361 588752 740688 883128 956722 1435083 1766256 1913444 2870166 3826888 5740332 7653776 11480664 22961328