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23281992 = 2334193161
BaseRepresentation
bin101100011010…
…0000101001000
31121210211220000
41120310011020
521430010432
62151003000
7401615346
oct130640510
947724800
1023281992
1112162118
127969460
134a92236
143140996
15209d57c
hex1634148

23281992 has 160 divisors (see below), whose sum is σ = 72019200. Its totient is φ = 6998400.

The previous prime is 23281981. The next prime is 23282029. The reversal of 23281992 is 29918232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381642 + ... + 381702.

It is an arithmetic number, because the mean of its divisors is an integer number (450120).

Almost surely, 223281992 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 23281992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36009600).

23281992 is an abundant number, since it is smaller than the sum of its proper divisors (48737208).

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

23281992 is a wasteful number, since it uses less digits than its factorization.

23281992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 23281992 is about 4825.1416559517. The cubic root of 23281992 is about 285.5442232720.

The spelling of 23281992 in words is "twenty-three million, two hundred eighty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 61 62 72 76 81 93 108 114 122 124 152 162 171 183 186 216 228 244 248 279 324 342 366 372 456 488 513 549 558 589 648 684 732 744 837 1026 1098 1116 1159 1178 1368 1464 1539 1647 1674 1767 1891 2052 2196 2232 2318 2356 2511 3078 3294 3348 3477 3534 3782 4104 4392 4636 4712 4941 5022 5301 5673 6156 6588 6696 6954 7068 7564 9272 9882 10044 10431 10602 11346 12312 13176 13908 14136 15128 15903 17019 19764 20088 20862 21204 22692 27816 31293 31806 34038 35929 39528 41724 42408 45384 47709 51057 62586 63612 68076 71858 83448 93879 95418 102114 107787 125172 127224 136152 143716 153171 187758 190836 204228 215574 250344 287432 306342 323361 375516 381672 408456 431148 612684 646722 751032 862296 970083 1225368 1293444 1940166 2586888 2910249 3880332 5820498 7760664 11640996 23281992