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22723968 = 27317592
BaseRepresentation
bin101011010101…
…1110110000000
31120202111102110
41112223312000
521304131333
62131015320
7364102431
oct126536600
946674373
1022723968
1111910943
12773a540
134928247
143037488
151edd063
hex15abd80

22723968 has 96 divisors (see below), whose sum is σ = 65012760. Its totient is φ = 7008256.

The previous prime is 22723949. The next prime is 22723973. The reversal of 22723968 is 86932722.

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

Its product of digits (72576) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385123 + ... + 385181.

Almost surely, 222723968 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 22723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32506380).

22723968 is an abundant number, since it is smaller than the sum of its proper divisors (42288792).

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

22723968 is an equidigital number, since it uses as much as digits as its factorization.

22723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 81 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 22723968 is about 4766.9663309069. The cubic root of 22723968 is about 283.2444374713.

The spelling of 22723968 in words is "twenty-two million, seven hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 64 68 96 102 118 128 136 177 192 204 236 272 354 384 408 472 544 708 816 944 1003 1088 1416 1632 1888 2006 2176 2832 3009 3264 3481 3776 4012 5664 6018 6528 6962 7552 8024 10443 11328 12036 13924 16048 20886 22656 24072 27848 32096 41772 48144 55696 59177 64192 83544 96288 111392 118354 128384 167088 177531 192576 222784 236708 334176 355062 385152 445568 473416 668352 710124 946832 1336704 1420248 1893664 2840496 3787328 5680992 7574656 11361984 22723968