Search a number
-
+
23111968 = 2511247127
BaseRepresentation
bin101100000101…
…0100100100000
31121111012122211
41120022210200
521404040333
62143211504
7400306555
oct130124440
947435584
1023111968
1112056400
1278a6b94
134a32a29
1430d8a2c
152067ecd
hex160a920

23111968 has 72 divisors (see below), whose sum is σ = 51480576. Its totient is φ = 10200960.

The previous prime is 23111953. The next prime is 23111981. The reversal of 23111968 is 86911132.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181921 + ... + 182047.

It is an arithmetic number, because the mean of its divisors is an integer number (715008).

Almost surely, 223111968 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 23111968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288).

23111968 is an abundant number, since it is smaller than the sum of its proper divisors (28368608).

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

23111968 is a wasteful number, since it uses less digits than its factorization.

23111968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 23111968 is about 4807.4908216241. The cubic root of 23111968 is about 284.8474324483.

The spelling of 23111968 in words is "twenty-three million, one hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 121 127 176 188 242 254 352 376 484 508 517 752 968 1016 1034 1397 1504 1936 2032 2068 2794 3872 4064 4136 5588 5687 5969 8272 11176 11374 11938 15367 16544 22352 22748 23876 30734 44704 45496 47752 61468 65659 90992 95504 122936 131318 181984 191008 245872 262636 491744 525272 722249 1050544 1444498 2101088 2888996 5777992 11555984 23111968