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23257668 = 22374347137
BaseRepresentation
bin101100010111…
…0001001000100
31121202121112010
41120232021010
521423221133
62150254220
7401454420
oct130561104
947677463
1023257668
1112145915
127957370
134a84145
143135b80
152096263
hex162e244

23257668 has 96 divisors (see below), whose sum is σ = 65286144. Its totient is φ = 6306048.

The previous prime is 23257651. The next prime is 23257673. The reversal of 23257668 is 86675232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169696 + ... + 169832.

It is an arithmetic number, because the mean of its divisors is an integer number (680064).

Almost surely, 223257668 is an apocalyptic number.

23257668 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 23257668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643072).

23257668 is an abundant number, since it is smaller than the sum of its proper divisors (42028476).

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

23257668 is a wasteful number, since it uses less digits than its factorization.

23257668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 23257668 is about 4822.6204495067. The cubic root of 23257668 is about 285.4447472778. Note that the first 3 decimals are identical.

The spelling of 23257668 in words is "twenty-three million, two hundred fifty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 47 84 86 94 129 137 141 172 188 258 274 282 301 329 411 516 548 564 602 658 822 903 959 987 1204 1316 1644 1806 1918 1974 2021 2877 3612 3836 3948 4042 5754 5891 6063 6439 8084 11508 11782 12126 12878 14147 17673 19317 23564 24252 25756 28294 35346 38634 41237 42441 45073 56588 70692 77268 82474 84882 90146 123711 135219 164948 169764 180292 247422 270438 276877 494844 540876 553754 830631 1107508 1661262 1938139 3322524 3876278 5814417 7752556 11628834 23257668