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235130256 = 2433719757
BaseRepresentation
bin11100000001111…
…00110110010000
3121101102212002000
432000330312100
5440143132011
635155354000
75553400644
oct1600746620
9541385060
10235130256
111107a7929
12668b2900
133993743a
1423328c24
1515998356
hexe03cd90

235130256 has 80 divisors (see below), whose sum is σ = 676742400. Its totient is φ = 78164352.

The previous prime is 235130239. The next prime is 235130261. The reversal of 235130256 is 652031532.

235130256 is a `hidden beast` number, since 2 + 351 + 302 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 310230 + ... + 310986.

It is an arithmetic number, because the mean of its divisors is an integer number (8459280).

Almost surely, 2235130256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235130256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338371200).

235130256 is an abundant number, since it is smaller than the sum of its proper divisors (441612144).

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

235130256 is a wasteful number, since it uses less digits than its factorization.

235130256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 235130256 is about 15333.9576104801. The cubic root of 235130256 is about 617.2145738967.

Adding to 235130256 its reverse (652031532), we get a palindrome (887161788).

The spelling of 235130256 in words is "two hundred thirty-five million, one hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 719 757 1438 1514 2157 2271 2876 3028 4314 4542 5752 6056 6471 6813 8628 9084 11504 12112 12942 13626 17256 18168 19413 20439 25884 27252 34512 36336 38826 40878 51768 54504 77652 81756 103536 109008 155304 163512 310608 327024 544283 1088566 1632849 2177132 3265698 4354264 4898547 6531396 8708528 9797094 13062792 14695641 19594188 26125584 29391282 39188376 58782564 78376752 117565128 235130256