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232115220 = 22345143281
BaseRepresentation
bin11011101010111…
…00110000010100
3121011202200020000
431311130300110
5433410141340
635011011300
75515642521
oct1565346024
9534680200
10232115220
1110a028667
1265899b30
133911ccac
1422b82148
151559ed30
hexdd5cc14

232115220 has 60 divisors (see below), whose sum is σ = 728159124. Its totient is φ = 61896960.

The previous prime is 232115209. The next prime is 232115231. The reversal of 232115220 is 22511232.

232115220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232115209) and next prime (232115231).

It can be written as a sum of positive squares in 2 ways, for example, as 115863696 + 116251524 = 10764^2 + 10782^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232115193 and 232115202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70021 + ... + 73260.

Almost surely, 2232115220 is an apocalyptic number.

232115220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232115220 is an abundant number, since it is smaller than the sum of its proper divisors (496043904).

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

232115220 is a wasteful number, since it uses less digits than its factorization.

232115220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143302 (or 143291 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 232115220 is about 15235.3280240368. The cubic root of 232115220 is about 614.5650702403.

Adding to 232115220 its reverse (22511232), we get a palindrome (254626452).

The spelling of 232115220 in words is "two hundred thirty-two million, one hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 143281 286562 429843 573124 716405 859686 1289529 1432810 1719372 2149215 2579058 2865620 3868587 4298430 5158116 6447645 7737174 8596860 11605761 12895290 15474348 19342935 23211522 25790580 38685870 46423044 58028805 77371740 116057610 232115220