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230542920 = 233254011597
BaseRepresentation
bin11011011110111…
…00111001001000
3121001210210102200
431233130321020
5433004333140
634513200200
75466403536
oct1557347110
9531723380
10230542920
11109154343
1265260060
13389bc43a
1422893156
151538e030
hexdbdce48

230542920 has 96 divisors (see below), whose sum is σ = 751603320. Its totient is φ = 61286400.

The previous prime is 230542901. The next prime is 230542927. The reversal of 230542920 is 29245032.

230542920 is a `hidden beast` number, since 2 + 30 + 542 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212751396 + 17791524 = 14586^2 + 4218^2 .

It is not an unprimeable number, because it can be changed into a prime (230542927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143562 + ... + 145158.

Almost surely, 2230542920 is an apocalyptic number.

230542920 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 230542920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375801660).

230542920 is an abundant number, since it is smaller than the sum of its proper divisors (521060400).

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

230542920 is a wasteful number, since it uses less digits than its factorization.

230542920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230542920 is about 15183.6398798180. The cubic root of 230542920 is about 613.1742800655.

Adding to 230542920 its reverse (29245032), we get a palindrome (259787952).

The spelling of 230542920 in words is "two hundred thirty million, five hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 401 802 1203 1597 1604 2005 2406 3194 3208 3609 4010 4791 4812 6015 6388 7218 7985 8020 9582 9624 12030 12776 14373 14436 15970 16040 18045 19164 23955 24060 28746 28872 31940 36090 38328 47910 48120 57492 63880 71865 72180 95820 114984 143730 144360 191640 287460 574920 640397 1280794 1921191 2561588 3201985 3842382 5123176 5763573 6403970 7684764 9605955 11527146 12807940 15369528 19211910 23054292 25615880 28817865 38423820 46108584 57635730 76847640 115271460 230542920