Search a number
-
+
232797888 = 263514969
BaseRepresentation
bin11011110000000…
…11011011000000
3121020001100200000
431320003123000
5434044013023
635033400000
75524515021
oct1570033300
9536040600
10232797888
1110a454554
1265b69000
13392cb93b
1422cbcc48
1515687243
hexde036c0

232797888 has 84 divisors (see below), whose sum is σ = 692033160. Its totient is φ = 77594112.

The previous prime is 232797883. The next prime is 232797907. The reversal of 232797888 is 888797232.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (232797883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8068 + ... + 23036.

It is an arithmetic number, because the mean of its divisors is an integer number (8238490).

Almost surely, 2232797888 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 232797888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346016580).

232797888 is an abundant number, since it is smaller than the sum of its proper divisors (459235272).

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

232797888 is an equidigital number, since it uses as much as digits as its factorization.

232797888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14996 (or 14974 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 232797888 is about 15257.7156874809. The cubic root of 232797888 is about 615.1669742931.

The spelling of 232797888 in words is "two hundred thirty-two million, seven hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 14969 15552 29938 44907 59876 89814 119752 134721 179628 239504 269442 359256 404163 479008 538884 718512 808326 958016 1077768 1212489 1437024 1616652 2155536 2424978 2874048 3233304 3637467 4311072 4849956 6466608 7274934 8622144 9699912 12933216 14549868 19399824 25866432 29099736 38799648 58199472 77599296 116398944 232797888