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23125392 = 2433199269
BaseRepresentation
bin101100000110…
…1110110010000
31121111220002000
41120031312100
521410003032
62143354000
7400363653
oct130156620
947456060
1023125392
11120654a4
1278b2900
134a38b84
1430dd89a
15206be7c
hex160dd90

23125392 has 80 divisors (see below), whose sum is σ = 66960000. Its totient is φ = 7641216.

The previous prime is 23125387. The next prime is 23125393. The reversal of 23125392 is 29352132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23125393) 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 15 ways as a sum of consecutive naturals, for example, 85834 + ... + 86102.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 223125392 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 23125392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480000).

23125392 is an abundant number, since it is smaller than the sum of its proper divisors (43834608).

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

23125392 is a wasteful number, since it uses less digits than its factorization.

23125392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 23125392 is about 4808.8867734643. The cubic root of 23125392 is about 284.9025705749.

The spelling of 23125392 in words is "twenty-three million, one hundred twenty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 269 398 432 538 597 796 807 1076 1194 1592 1614 1791 2152 2388 2421 3184 3228 3582 4304 4776 4842 5373 6456 7164 7263 9552 9684 10746 12912 14328 14526 19368 21492 28656 29052 38736 42984 53531 58104 85968 107062 116208 160593 214124 321186 428248 481779 642372 856496 963558 1284744 1445337 1927116 2569488 2890674 3854232 5781348 7708464 11562696 23125392