Search a number
-
+
23131032192 = 273312795233
BaseRepresentation
bin10101100010101101…
…111000101010000000
32012201001010011222000
4111202231320222000
5334333021012232
614343134144000
71446131346432
oct254255705200
965631104860
1023131032192
11989a956934
124596652000
1322482796c8
14119607a652
15905a9427c
hex562b78a80

23131032192 has 128 divisors (see below), whose sum is σ = 68335104000. Its totient is φ = 7702843392.

The previous prime is 23131032191. The next prime is 23131032227. The reversal of 23131032192 is 29123013132.

23131032192 is a `hidden beast` number, since 23 + 1 + 310 + 321 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (23131032191) 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, 4417608 + ... + 4422840.

It is an arithmetic number, because the mean of its divisors is an integer number (533868000).

Almost surely, 223131032192 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 23131032192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34167552000).

23131032192 is an abundant number, since it is smaller than the sum of its proper divisors (45204071808).

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

23131032192 is a wasteful number, since it uses less digits than its factorization.

23131032192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6535 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 23131032192 in words is "twenty-three billion, one hundred thirty-one million, thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1279 1728 2558 3456 3837 5116 5233 7674 10232 10466 11511 15348 15699 20464 20932 23022 30696 31398 34533 40928 41864 46044 47097 61392 62796 69066 81856 83728 92088 94194 122784 125592 138132 141291 163712 167456 184176 188388 245568 251184 276264 282582 334912 368352 376776 491136 502368 552528 565164 669824 736704 753552 1004736 1105056 1130328 1473408 1507104 2009472 2210112 2260656 3014208 4420224 4521312 6028416 6693007 9042624 13386014 18085248 20079021 26772028 40158042 53544056 60237063 80316084 107088112 120474126 160632168 180711189 214176224 240948252 321264336 361422378 428352448 481896504 642528672 722844756 856704896 963793008 1285057344 1445689512 1927586016 2570114688 2891379024 3855172032 5782758048 7710344064 11565516096 23131032192