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230776420 = 2257612443
BaseRepresentation
bin11011100000101…
…01111001100100
3121002020122201211
431300111321210
5433034321140
634522201204
75501365360
oct1560257144
9532218654
10230776420
111092a3816
1265353204
1338a717c4
14229142a0
15153d82ea
hexdc15e64

230776420 has 72 divisors (see below), whose sum is σ = 564363072. Its totient is φ = 77650560.

The previous prime is 230776417. The next prime is 230776453. The reversal of 230776420 is 24677032.

It is a happy number.

230776420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520719 + ... + 521161.

It is an arithmetic number, because the mean of its divisors is an integer number (7838376).

Almost surely, 2230776420 is an apocalyptic number.

230776420 is a gapful number since it is divisible by the number (20) 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 230776420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282181536).

230776420 is an abundant number, since it is smaller than the sum of its proper divisors (333586652).

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

230776420 is a wasteful number, since it uses less digits than its factorization.

230776420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 230776420 is about 15191.3271309652. The cubic root of 230776420 is about 613.3812232875.

The spelling of 230776420 in words is "two hundred thirty million, seven hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 443 610 854 886 1220 1708 1772 2135 2215 3101 3721 4270 4430 6202 7442 8540 8860 12404 14884 15505 18605 26047 27023 31010 37210 52094 54046 62020 74420 104188 108092 130235 135115 189161 260470 270230 378322 520940 540460 756644 945805 1648403 1891610 3296806 3783220 6593612 8242015 11538821 16484030 23077642 32968060 46155284 57694105 115388210 230776420