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232566640 = 245101107269
BaseRepresentation
bin11011101110010…
…10111101110000
3121012121121110021
431313022331300
5434014113030
635024413224
75522532565
oct1567127560
9535547407
10232566640
1110a306839
1265a77214
133924a5c7
1422c5c86c
151563d97a
hexddcaf70

232566640 has 80 divisors (see below), whose sum is σ = 553223520. Its totient is φ = 90905600.

The previous prime is 232566623. The next prime is 232566671. The reversal of 232566640 is 46665232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 232566596 and 232566605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864426 + ... + 864694.

It is an arithmetic number, because the mean of its divisors is an integer number (6915294).

Almost surely, 2232566640 is an apocalyptic number.

232566640 is a gapful number since it is divisible by the number (20) 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 232566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276611760).

232566640 is an abundant number, since it is smaller than the sum of its proper divisors (320656880).

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

232566640 is a wasteful number, since it uses less digits than its factorization.

232566640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 232566640 is about 15250.1357371008. The cubic root of 232566640 is about 614.9632163427.

The spelling of 232566640 in words is "two hundred thirty-two million, five hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 107 202 214 269 404 428 505 535 538 808 856 1010 1070 1076 1345 1616 1712 2020 2140 2152 2690 4040 4280 4304 5380 8080 8560 10760 10807 21520 21614 27169 28783 43228 54035 54338 57566 86456 108070 108676 115132 135845 143915 172912 216140 217352 230264 271690 287830 432280 434704 460528 543380 575660 864560 1086760 1151320 2173520 2302640 2907083 5814166 11628332 14535415 23256664 29070830 46513328 58141660 116283320 232566640