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22961152 = 210171319
BaseRepresentation
bin101011110010…
…1110000000000
31121012112210001
41113211300000
521334224102
62140045344
7366111064
oct127456000
947175701
1022961152
1111a63065
127833854
1349ac1a6
143099aa4
152038487
hex15e5c00

22961152 has 44 divisors (see below), whose sum is σ = 48636720. Its totient is φ = 10797056.

The previous prime is 22961149. The next prime is 22961167. The reversal of 22961152 is 25116922.

It is a self number, because there is not a number n which added to its sum of digits gives 22961152.

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, 16749 + ... + 18067.

It is an arithmetic number, because the mean of its divisors is an integer number (1105380).

Almost surely, 222961152 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 22961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24318360).

22961152 is an abundant number, since it is smaller than the sum of its proper divisors (25675568).

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

22961152 is a wasteful number, since it uses less digits than its factorization.

22961152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1338 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 22961152 is about 4791.7796276540. The cubic root of 22961152 is about 284.2264939216.

The spelling of 22961152 in words is "twenty-two million, nine hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1319 2176 2638 4352 5276 8704 10552 17408 21104 22423 42208 44846 84416 89692 168832 179384 337664 358768 675328 717536 1350656 1435072 2870144 5740288 11480576 22961152