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230116296 = 233191732917
BaseRepresentation
bin11011011011101…
…00101111001000
3121001000010012210
431231310233020
5432402210141
634500105120
75462645664
oct1555645710
9531003183
10230116296
11108992863
12650951a0
13388a01b7
14227c18a4
1515307916
hexdb74bc8

230116296 has 64 divisors (see below), whose sum is σ = 609278400. Its totient is φ = 72223488.

The previous prime is 230116273. The next prime is 230116333. The reversal of 230116296 is 692611032.

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, 77430 + ... + 80346.

It is an arithmetic number, because the mean of its divisors is an integer number (9519975).

Almost surely, 2230116296 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 230116296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304639200).

230116296 is an abundant number, since it is smaller than the sum of its proper divisors (379162104).

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

230116296 is a wasteful number, since it uses less digits than its factorization.

230116296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 230116296 is about 15169.5845691304. The cubic root of 230116296 is about 612.7958163471.

The spelling of 230116296 in words is "two hundred thirty million, one hundred sixteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 173 228 346 456 519 692 1038 1384 2076 2917 3287 4152 5834 6574 8751 9861 11668 13148 17502 19722 23336 26296 35004 39444 55423 70008 78888 110846 166269 221692 332538 443384 504641 665076 1009282 1330152 1513923 2018564 3027846 4037128 6055692 9588179 12111384 19176358 28764537 38352716 57529074 76705432 115058148 230116296