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23155506 = 23211831409
BaseRepresentation
bin101100001010…
…1001100110010
31121120102101100
41120111030302
521411434011
62144145230
7400550523
oct130251462
947512340
1023155506
1112086090
127908216
134a497aa
14310a84a
152075d56
hex1615332

23155506 has 48 divisors (see below), whose sum is σ = 55429920. Its totient is φ = 6927360.

The previous prime is 23155501. The next prime is 23155507. The reversal of 23155506 is 60555132.

23155506 is a `hidden beast` number, since 2 + 3 + 155 + 506 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23155506.

It is not an unprimeable number, because it can be changed into a prime (23155501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15730 + ... + 17138.

It is an arithmetic number, because the mean of its divisors is an integer number (1154790).

Almost surely, 223155506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23155506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27714960).

23155506 is an abundant number, since it is smaller than the sum of its proper divisors (32274414).

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

23155506 is a wasteful number, since it uses less digits than its factorization.

23155506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 23155506 is about 4812.0168328883. The cubic root of 23155506 is about 285.0261841132.

The spelling of 23155506 in words is "twenty-three million, one hundred fifty-five thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 913 1409 1494 1826 2739 2818 4227 5478 8217 8454 12681 15499 16434 25362 30998 46497 92994 116947 139491 233894 278982 350841 701682 1052523 1286417 2105046 2572834 3859251 7718502 11577753 23155506