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235131320 = 23553197563
BaseRepresentation
bin11100000001111…
…01000110111000
3121101102220112102
432000331012320
5440143200240
635155402532
75553404024
oct1600750670
9541386472
10235131320
111107a8706
12668b3448
1339937a78
1423329384
1515998815
hexe03d1b8

235131320 has 64 divisors (see below), whose sum is σ = 542725920. Its totient is φ = 91646464.

The previous prime is 235131317. The next prime is 235131349. The reversal of 235131320 is 23131532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 235131292 and 235131301.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 417359 + ... + 417921.

Almost surely, 2235131320 is an apocalyptic number.

235131320 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 235131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271362960).

235131320 is an abundant number, since it is smaller than the sum of its proper divisors (307594600).

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

235131320 is a wasteful number, since it uses less digits than its factorization.

235131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 235131320 is about 15333.9923046805. The cubic root of 235131320 is about 617.2155048917.

Adding to 235131320 its reverse (23131532), we get a palindrome (258262852).

The spelling of 235131320 in words is "two hundred thirty-five million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 197 212 265 394 424 530 563 788 985 1060 1126 1576 1970 2120 2252 2815 3940 4504 5630 7880 10441 11260 20882 22520 29839 41764 52205 59678 83528 104410 110911 119356 149195 208820 221822 238712 298390 417640 443644 554555 596780 887288 1109110 1193560 2218220 4436440 5878283 11756566 23513132 29391415 47026264 58782830 117565660 235131320