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23023032 = 2331773773
BaseRepresentation
bin101011111010…
…0110110111000
31121022200122220
41113310312320
521343214112
62141244040
7366456354
oct127646670
947280586
1023023032
1111aa55aa
127863620
134a013c6
1430b4464
15204b98c
hex15f4db8

23023032 has 64 divisors (see below), whose sum is σ = 61858080. Its totient is φ = 7114752.

The previous prime is 23023001. The next prime is 23023037. The reversal of 23023032 is 23032032.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29398 + ... + 30170.

Almost surely, 223023032 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 23023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30929040).

23023032 is an abundant number, since it is smaller than the sum of its proper divisors (38835048).

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

23023032 is a wasteful number, since it uses less digits than its factorization.

23023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 23023032 is about 4798.2321744576. The cubic root of 23023032 is about 284.4815937717.

Adding to 23023032 its reverse (23032032), we get a palindrome (46055064).

The spelling of 23023032 in words is "twenty-three million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 73 102 136 146 204 219 292 408 438 584 773 876 1241 1546 1752 2319 2482 3092 3723 4638 4964 6184 7446 9276 9928 13141 14892 18552 26282 29784 39423 52564 56429 78846 105128 112858 157692 169287 225716 315384 338574 451432 677148 959293 1354296 1918586 2877879 3837172 5755758 7674344 11511516 23023032