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230263380 = 22325412761
BaseRepresentation
bin11011011100110…
…00101001010100
3121001021120222100
431232120221110
5432421412010
634503202100
75464130544
oct1556305124
9531246870
10230263380
11108a83316
1265146330
1338922129
142281d324
15153362c0
hexdb98a54

230263380 has 108 divisors (see below), whose sum is σ = 716857596. Its totient is φ = 59827200.

The previous prime is 230263379. The next prime is 230263399. The reversal of 230263380 is 83362032.

230263380 is a `hidden beast` number, since 23 + 0 + 2 + 633 + 8 + 0 = 666.

230263380 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 163481796 + 66781584 = 12786^2 + 8172^2 .

230263380 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302200 + ... + 302960.

Almost surely, 2230263380 is an apocalyptic number.

230263380 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 230263380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358428798).

230263380 is an abundant number, since it is smaller than the sum of its proper divisors (486594216).

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

230263380 is a wasteful number, since it uses less digits than its factorization.

230263380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 230263380 is about 15174.4317850785. The cubic root of 230263380 is about 612.9263492774.

The spelling of 230263380 in words is "two hundred thirty million, two hundred sixty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 761 820 1230 1476 1522 1681 1845 2283 2460 3044 3362 3690 3805 4566 5043 6724 6849 7380 7610 8405 9132 10086 11415 13698 15129 15220 16810 20172 22830 25215 27396 30258 31201 33620 34245 45660 50430 60516 62402 68490 75645 93603 100860 124804 136980 151290 156005 187206 280809 302580 312010 374412 468015 561618 624020 936030 1123236 1279241 1404045 1872060 2558482 2808090 3837723 5116964 5616180 6396205 7675446 11513169 12792410 15350892 19188615 23026338 25584820 38377230 46052676 57565845 76754460 115131690 230263380