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230167104 = 2632275281
BaseRepresentation
bin11011011100000…
…01001001000000
3121001002200220120
431232001021000
5432410321404
634501140240
75463250056
oct1556011100
9531080816
10230167104
11108a17a52
12650ba680
13388ba36b
14227d61d6
15153179d9
hexdb81240

230167104 has 56 divisors (see below), whose sum is σ = 611782368. Its totient is φ = 76369920.

The previous prime is 230167099. The next prime is 230167109. The reversal of 230167104 is 401761032.

It is an interprime number because it is at equal distance from previous prime (230167099) and next prime (230167109).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230167109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40944 + ... + 46224.

Almost surely, 2230167104 is an apocalyptic number.

230167104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305891184).

230167104 is an abundant number, since it is smaller than the sum of its proper divisors (381615264).

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

230167104 is a wasteful number, since it uses less digits than its factorization.

230167104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 230167104 is about 15171.2591435253. The cubic root of 230167104 is about 612.8409133107.

The spelling of 230167104 in words is "two hundred thirty million, one hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1362 1816 2724 3632 5281 5448 7264 10562 10896 14528 15843 21124 21792 31686 42248 43584 63372 84496 126744 168992 253488 337984 506976 1013952 1198787 2397574 3596361 4795148 7192722 9590296 14385444 19180592 28770888 38361184 57541776 76722368 115083552 230167104