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230633220 = 2235171731307
BaseRepresentation
bin11011011111100…
…10111100000100
3121001222101022010
431233302330010
5433020230340
634515134220
75500231026
oct1557627404
9531871263
10230633220
11109206174
12652a4370
1338a2157c
14228b8016
15153aab80
hexdbf2f04

230633220 has 96 divisors (see below), whose sum is σ = 688238208. Its totient is φ = 57505792.

The previous prime is 230633177. The next prime is 230633233. The reversal of 230633220 is 22336032.

230633220 is digitally balanced in base 3, 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 31 ways as a sum of consecutive naturals, for example, 175807 + ... + 177113.

It is an arithmetic number, because the mean of its divisors is an integer number (7169148).

Almost surely, 2230633220 is an apocalyptic number.

230633220 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 230633220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344119104).

230633220 is an abundant number, since it is smaller than the sum of its proper divisors (457604988).

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

230633220 is a wasteful number, since it uses less digits than its factorization.

230633220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 230633220 is about 15186.6131839854. The cubic root of 230633220 is about 613.2543264908.

Adding to 230633220 its reverse (22336032), we get a palindrome (252969252).

The spelling of 230633220 in words is "two hundred thirty million, six hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 173 204 255 340 346 510 519 692 865 1020 1038 1307 1730 2076 2595 2614 2941 3460 3921 5190 5228 5882 6535 7842 8823 10380 11764 13070 14705 15684 17646 19605 22219 26140 29410 35292 39210 44115 44438 58820 66657 78420 88230 88876 111095 133314 176460 222190 226111 266628 333285 444380 452222 666570 678333 904444 1130555 1333140 1356666 2261110 2713332 3391665 3843887 4522220 6783330 7687774 11531661 13566660 15375548 19219435 23063322 38438870 46126644 57658305 76877740 115316610 230633220