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235125280 = 25513113041
BaseRepresentation
bin11100000001110…
…11101000100000
3121101102121020201
432000323220200
5440143002110
635155314544
75553350305
oct1600735040
9541377221
10235125280
111107a4115
12668aba54
13399350b0
14233270ac
1515996b3a
hexe03ba20

235125280 has 48 divisors (see below), whose sum is σ = 598218264. Its totient is φ = 86814720.

The previous prime is 235125263. The next prime is 235125299. The reversal of 235125280 is 82521532.

It can be written as a sum of positive squares in 4 ways, for example, as 167029776 + 68095504 = 12924^2 + 8252^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54441 + ... + 58600.

Almost surely, 2235125280 is an apocalyptic number.

235125280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235125280 is an abundant number, since it is smaller than the sum of its proper divisors (363092984).

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

235125280 is a wasteful number, since it uses less digits than its factorization.

235125280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113069 (or 113061 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 235125280 is about 15333.7953553580. The cubic root of 235125280 is about 617.2102198825.

The spelling of 235125280 in words is "two hundred thirty-five million, one hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 113041 226082 452164 565205 904328 1130410 1469533 1808656 2260820 2939066 3617312 4521640 5878132 7347665 9043280 11756264 14695330 18086560 23512528 29390660 47025056 58781320 117562640 235125280