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23230656 = 2632311301
BaseRepresentation
bin101100010011…
…1100011000000
31121201020110200
41120213203000
521421340111
62145525200
7401312601
oct130474300
947636420
1023230656
1112127599
127943800
134a74a67
143129da8
15208d256
hex16278c0

23230656 has 84 divisors (see below), whose sum is σ = 68787264. Its totient is φ = 7488000.

The previous prime is 23230639. The next prime is 23230657. The reversal of 23230656 is 65603232.

23230656 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 0 + 656 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23230657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17206 + ... + 18506.

It is an arithmetic number, because the mean of its divisors is an integer number (818896).

Almost surely, 223230656 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 23230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34393632).

23230656 is an abundant number, since it is smaller than the sum of its proper divisors (45556608).

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

23230656 is a wasteful number, since it uses less digits than its factorization.

23230656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 23230656 is about 4819.8190837416. The cubic root of 23230656 is about 285.3341970646.

Adding to 23230656 its reverse (65603232), we get a palindrome (88833888).

The spelling of 23230656 in words is "twenty-three million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1301 1488 1984 2232 2602 2976 3903 4464 5204 5952 7806 8928 10408 11709 15612 17856 20816 23418 31224 40331 41632 46836 62448 80662 83264 93672 120993 124896 161324 187344 241986 249792 322648 362979 374688 483972 645296 725958 749376 967944 1290592 1451916 1935888 2581184 2903832 3871776 5807664 7743552 11615328 23230656