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232665240 = 23352384299
BaseRepresentation
bin11011101111000…
…11000010011000
3121012210121201010
431313203002120
5434030241430
635030453520
75523423213
oct1567430230
9535717633
10232665240
1110a373925
1265b042a0
1339283452
1422c8677a
151565ccb0
hexdde3098

232665240 has 64 divisors (see below), whose sum is σ = 728352000. Its totient is φ = 59345792.

The previous prime is 232665227. The next prime is 232665259. The reversal of 232665240 is 42566232.

232665240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2326652402 = 108266227808515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232665198 and 232665207.

It is a congruent number.

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, 39390 + ... + 44909.

It is an arithmetic number, because the mean of its divisors is an integer number (11380500).

Almost surely, 2232665240 is an apocalyptic number.

232665240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232665240 is an abundant number, since it is smaller than the sum of its proper divisors (495686760).

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

232665240 is a wasteful number, since it uses less digits than its factorization.

232665240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84336 (or 84332 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 232665240 is about 15253.3681526409. The cubic root of 232665240 is about 615.0501115886.

The spelling of 232665240 in words is "two hundred thirty-two million, six hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 84299 168598 252897 337196 421495 505794 674392 842990 1011588 1264485 1685980 1938877 2023176 2528970 3371960 3877754 5057940 5816631 7755508 9694385 10115880 11633262 15511016 19388770 23266524 29083155 38777540 46533048 58166310 77555080 116332620 232665240