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233083048 = 231131431987
BaseRepresentation
bin11011110010010…
…01000010101000
3121020120211211111
431321021002220
5434132124143
635043440104
75530113262
oct1571110250
9536524744
10233083048
1110a629820
1266086034
133939b683
1422d54b32
15156e199d
hexde490a8

233083048 has 64 divisors (see below), whose sum is σ = 503838720. Its totient is φ = 100094400.

The previous prime is 233083033. The next prime is 233083057. The reversal of 233083048 is 840380332.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 116311 + ... + 118297.

It is an arithmetic number, because the mean of its divisors is an integer number (7872480).

Almost surely, 2233083048 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 233083048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251919360).

233083048 is an abundant number, since it is smaller than the sum of its proper divisors (270755672).

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

233083048 is a wasteful number, since it uses less digits than its factorization.

233083048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 233083048 is about 15267.0576078038. The cubic root of 233083048 is about 615.4180496482.

The spelling of 233083048 in words is "two hundred thirty-three million, eighty-three thousand, forty-eight".

Divisors: 1 2 4 8 11 22 31 43 44 62 86 88 124 172 248 341 344 473 682 946 1333 1364 1892 1987 2666 2728 3784 3974 5332 7948 10664 14663 15896 21857 29326 43714 58652 61597 85441 87428 117304 123194 170882 174856 246388 341764 492776 677567 683528 939851 1355134 1879702 2648671 2710268 3759404 5297342 5420536 7518808 10594684 21189368 29135381 58270762 116541524 233083048