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230545080 = 233251574079
BaseRepresentation
bin11011011110111…
…01011010111000
3121001210220101200
431233131122320
5433004420310
634513214200
75466413043
oct1557353270
9531726350
10230545080
11109155a27
1265261360
13389c040c
1422893c5a
151538e9c0
hexdbdd6b8

230545080 has 96 divisors (see below), whose sum is σ = 754228800. Its totient is φ = 61072128.

The previous prime is 230545079. The next prime is 230545093. The reversal of 230545080 is 80545032.

It is a congruent number.

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, 54481 + ... + 58559.

It is an arithmetic number, because the mean of its divisors is an integer number (7856550).

Almost surely, 2230545080 is an apocalyptic number.

230545080 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 230545080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377114400).

230545080 is an abundant number, since it is smaller than the sum of its proper divisors (523683720).

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

230545080 is a wasteful number, since it uses less digits than its factorization.

230545080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 230545080 is about 15183.7110088410. The cubic root of 230545080 is about 613.1761950412.

The spelling of 230545080 in words is "two hundred thirty million, five hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4079 4710 5652 6280 7065 8158 9420 11304 12237 14130 16316 18840 20395 24474 28260 32632 36711 40790 48948 56520 61185 73422 81580 97896 122370 146844 163160 183555 244740 293688 367110 489480 640403 734220 1280806 1468440 1921209 2561612 3202015 3842418 5123224 5763627 6404030 7684836 9606045 11527254 12808060 15369672 19212090 23054508 25616120 28818135 38424180 46109016 57636270 76848360 115272540 230545080