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230055364 = 2271136173
BaseRepresentation
bin11011011011001…
…01110111000100
3121000220000122001
431231211313010
5432343232424
634454515044
75462303230
oct1555456704
9530800561
10230055364
11108951000
1265065a84
133887b546
14227a75c0
15152e4844
hexdb65dc4

230055364 has 48 divisors (see below), whose sum is σ = 506169216. Its totient is φ = 89617440.

The previous prime is 230055323. The next prime is 230055367. The reversal of 230055364 is 463550032.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (230055367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34182 + ... + 40354.

It is an arithmetic number, because the mean of its divisors is an integer number (10545192).

Almost surely, 2230055364 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 230055364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253084608).

230055364 is an abundant number, since it is smaller than the sum of its proper divisors (276113852).

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

230055364 is a wasteful number, since it uses less digits than its factorization.

230055364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 230055364 is about 15167.5760752996. The cubic root of 230055364 is about 612.7417246097.

The spelling of 230055364 in words is "two hundred thirty million, fifty-five thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1331 1694 2662 3388 5324 6173 9317 12346 18634 24692 37268 43211 67903 86422 135806 172844 271612 475321 746933 950642 1493866 1901284 2987732 5228531 8216263 10457062 16432526 20914124 32865052 57513841 115027682 230055364