Search a number
-
+
232982288 = 24711296521
BaseRepresentation
bin11011110001100…
…00011100010000
3121020101201121122
431320300130100
5434120413123
635041341412
75526213440
oct1570603420
9536351548
10232982288
1110a570050
1266037868
1339364856
1422d2a120
15156c1bc8
hexde30710

232982288 has 80 divisors (see below), whose sum is σ = 582284160. Its totient is φ = 87628800.

The previous prime is 232982227. The next prime is 232982293. The reversal of 232982288 is 882289232.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32468 + ... + 38988.

It is an arithmetic number, because the mean of its divisors is an integer number (7278552).

Almost surely, 2232982288 is an apocalyptic number.

232982288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232982288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291142080).

232982288 is an abundant number, since it is smaller than the sum of its proper divisors (349301872).

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

232982288 is a wasteful number, since it uses less digits than its factorization.

232982288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6570 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 232982288 is about 15263.7573355973. The cubic root of 232982288 is about 615.3293567113.

The spelling of 232982288 in words is "two hundred thirty-two million, nine hundred eighty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 616 638 812 1232 1276 1624 2233 2552 3248 4466 5104 6521 8932 13042 17864 26084 35728 45647 52168 71731 91294 104336 143462 182588 189109 286924 365176 378218 502117 573848 730352 756436 1004234 1147696 1323763 1512872 2008468 2080199 2647526 3025744 4016936 4160398 5295052 8033872 8320796 10590104 14561393 16641592 21180208 29122786 33283184 58245572 116491144 232982288