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235131620 = 22564118341
BaseRepresentation
bin11100000001111…
…01001011100100
3121101102220221112
432000331023210
5440143202440
635155404152
75553404633
oct1600751344
9541386845
10235131620
111107a8959
12668b3658
1339937c49
142332951a
1515998965
hexe03d2e4

235131620 has 24 divisors (see below), whose sum is σ = 494573688. Its totient is φ = 93900800.

The previous prime is 235131601. The next prime is 235131649. The reversal of 235131620 is 26131532.

It can be written as a sum of positive squares in 4 ways, for example, as 24068836 + 211062784 = 4906^2 + 14528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3650 + ... + 21990.

It is an arithmetic number, because the mean of its divisors is an integer number (20607237).

Almost surely, 2235131620 is an apocalyptic number.

235131620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235131620 is an abundant number, since it is smaller than the sum of its proper divisors (259442068).

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

235131620 is a wasteful number, since it uses less digits than its factorization.

235131620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18991 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 235131620 is about 15334.0020868656. The cubic root of 235131620 is about 617.2157673898.

The spelling of 235131620 in words is "two hundred thirty-five million, one hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 12820 18341 36682 73364 91705 183410 366820 11756581 23513162 47026324 58782905 117565810 235131620