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22925952 = 273272843
BaseRepresentation
bin101011101110…
…1001010000000
31121010202111100
41113131022000
521332112302
62135214400
7365603340
oct127351200
947122440
1022925952
1111a39675
127817400
13499916a
14308ad20
15202cd1c
hex15dd280

22925952 has 96 divisors (see below), whose sum is σ = 75422880. Its totient is φ = 6547968.

The previous prime is 22925939. The next prime is 22925983. The reversal of 22925952 is 25952922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6643 + ... + 9485.

It is an arithmetic number, because the mean of its divisors is an integer number (785655).

Almost surely, 222925952 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 22925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711440).

22925952 is an abundant number, since it is smaller than the sum of its proper divisors (52496928).

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

22925952 is a wasteful number, since it uses less digits than its factorization.

22925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2855 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 22925952 is about 4788.1052620008. The cubic root of 22925952 is about 284.0811776142.

The spelling of 22925952 in words is "twenty-two million, nine hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 2843 4032 5686 8064 8529 11372 17058 19901 22744 25587 34116 39802 45488 51174 59703 68232 79604 90976 102348 119406 136464 159208 179109 181952 204696 238812 272928 318416 358218 363904 409392 477624 545856 636832 716436 818784 955248 1091712 1273664 1432872 1637568 1910496 2547328 2865744 3275136 3820992 5731488 7641984 11462976 22925952