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232514064 = 243579757
BaseRepresentation
bin11011101101111…
…10001000010000
3121012111221100000
431312332020100
5434010422224
635023330000
75522223366
oct1566761020
9535457300
10232514064
1110a280292
1265a50900
133922c6b3
1422c47636
151562d0c9
hexddbe210

232514064 has 120 divisors (see below), whose sum is σ = 684261760. Its totient is φ = 76422528.

The previous prime is 232514059. The next prime is 232514129. The reversal of 232514064 is 460415232.

232514064 is a `hidden beast` number, since 2 + 3 + 251 + 406 + 4 = 666.

232514064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306774 + ... + 307530.

Almost surely, 2232514064 is an apocalyptic number.

232514064 is a gapful number since it is divisible by the number (24) 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 232514064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342130880).

232514064 is an abundant number, since it is smaller than the sum of its proper divisors (451747696).

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

232514064 is an equidigital number, since it uses as much as digits as its factorization.

232514064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 232514064 is about 15248.4118517307. The cubic root of 232514064 is about 614.9168715720.

Adding to 232514064 its reverse (460415232), we get a palindrome (692929296).

The spelling of 232514064 in words is "two hundred thirty-two million, five hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 243 316 324 432 474 486 632 648 711 757 948 972 1264 1296 1422 1514 1896 1944 2133 2271 2844 3028 3792 3888 4266 4542 5688 6056 6399 6813 8532 9084 11376 12112 12798 13626 17064 18168 19197 20439 25596 27252 34128 36336 38394 40878 51192 54504 59803 61317 76788 81756 102384 109008 119606 122634 153576 163512 179409 183951 239212 245268 307152 327024 358818 367902 478424 490536 538227 717636 735804 956848 981072 1076454 1435272 1471608 1614681 2152908 2870544 2943216 3229362 4305816 4844043 6458724 8611632 9688086 12917448 14532129 19376172 25834896 29064258 38752344 58128516 77504688 116257032 232514064