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230792180 = 225432792
BaseRepresentation
bin11011100000110…
…01101111110100
3121002021110100112
431300121233310
5433040322210
634522402152
75501462333
oct1560315764
9532243315
10230792180
11109304643
1265360358
1338a78a28
1422919d1a
15153dcd05
hexdc19bf4

230792180 has 54 divisors (see below), whose sum is σ = 502557426. Its totient is φ = 89028576.

The previous prime is 230792173. The next prime is 230792213. The reversal of 230792180 is 81297032.

It can be written as a sum of positive squares in only one way, i.e., 184633744 + 46158436 = 13588^2 + 6794^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2921381 + ... + 2921459.

It is an arithmetic number, because the mean of its divisors is an integer number (9306619).

Almost surely, 2230792180 is an apocalyptic number.

230792180 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 230792180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251278713).

230792180 is an abundant number, since it is smaller than the sum of its proper divisors (271765246).

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

230792180 is an equidigital number, since it uses as much as digits as its factorization.

230792180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 230792180 is about 15191.8458391336. The cubic root of 230792180 is about 613.3951858174.

The spelling of 230792180 in words is "two hundred thirty million, seven hundred ninety-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 43 79 86 158 172 215 316 395 430 790 860 1580 1849 3397 3698 6241 6794 7396 9245 12482 13588 16985 18490 24964 31205 33970 36980 62410 67940 124820 146071 268363 292142 536726 584284 730355 1073452 1341815 1460710 2683630 2921420 5367260 11539609 23079218 46158436 57698045 115396090 230792180