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23157732 = 22313219601
BaseRepresentation
bin101100001010…
…1101111100100
31121120112102210
41120111233210
521412021412
62144203420
7400560153
oct130255744
947515383
1023157732
1112087824
127909570
134a4a800
14310b59a
15207683c
hex1615be4

23157732 has 72 divisors (see below), whose sum is σ = 61692960. Its totient is φ = 6739200.

The previous prime is 23157727. The next prime is 23157749. The reversal of 23157732 is 23775132.

23157732 is nontrivially palindromic in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 23157732.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38232 + ... + 38832.

Almost surely, 223157732 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 23157732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30846480).

23157732 is an abundant number, since it is smaller than the sum of its proper divisors (38535228).

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

23157732 is a wasteful number, since it uses less digits than its factorization.

23157732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 638 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 23157732 is about 4812.2481232788. The cubic root of 23157732 is about 285.0353172607.

The spelling of 23157732 in words is "twenty-three million, one hundred fifty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 494 507 601 676 741 988 1014 1202 1482 1803 2028 2404 2964 3211 3606 6422 7212 7813 9633 11419 12844 15626 19266 22838 23439 31252 34257 38532 45676 46878 68514 93756 101569 137028 148447 203138 296894 304707 406276 445341 593788 609414 890682 1218828 1781364 1929811 3859622 5789433 7719244 11578866 23157732