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231902848 = 271726269
BaseRepresentation
bin11011101001010…
…00111010000000
3121011100212220101
431310220322000
5433331342343
635002252144
75514066412
oct1564507200
9534325811
10231902848
111099a3051
12657b7054
1339077428
1422b289b2
151555be4d
hexdd28e80

231902848 has 48 divisors (see below), whose sum is σ = 490846950. Its totient is φ = 109113344.

The previous prime is 231902833. The next prime is 231902851. The reversal of 231902848 is 848209132.

It can be written as a sum of positive squares in 3 ways, for example, as 223562304 + 8340544 = 14952^2 + 2888^2 .

It is a super-2 number, since 2×2319028482 = 107557861821022208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33858 + ... + 40126.

Almost surely, 2231902848 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 231902848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245423475).

231902848 is an abundant number, since it is smaller than the sum of its proper divisors (258944102).

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

231902848 is an equidigital number, since it uses as much as digits as its factorization.

231902848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 231902848 is about 15228.3567071434. The cubic root of 231902848 is about 614.3775825516.

The spelling of 231902848 in words is "two hundred thirty-one million, nine hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 2176 2312 4624 6269 9248 12538 18496 25076 36992 50152 100304 106573 200608 213146 401216 426292 802432 852584 1705168 1811741 3410336 3623482 6820672 7246964 13641344 14493928 28987856 57975712 115951424 231902848