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230642432 = 285389191
BaseRepresentation
bin11011011111101…
…01001100000000
3121001222211221022
431233311030000
5433021024212
634515245012
75500266626
oct1557651400
9531884838
10230642432
11109212089
12652a9768
1338a25817
14228bb516
15153ad772
hexdbf5300

230642432 has 72 divisors (see below), whose sum is σ = 476824320. Its totient is φ = 111288320.

The previous prime is 230642381. The next prime is 230642473. The reversal of 230642432 is 234246032.

230642432 is digitally balanced in base 2, 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 7 ways as a sum of consecutive naturals, for example, 1207457 + ... + 1207647.

It is an arithmetic number, because the mean of its divisors is an integer number (6622560).

Almost surely, 2230642432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238412160).

230642432 is an abundant number, since it is smaller than the sum of its proper divisors (246181888).

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

230642432 is an equidigital number, since it uses as much as digits as its factorization.

230642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 230642432 is about 15186.9164743868. The cubic root of 230642432 is about 613.2624912927.

Adding to 230642432 its reverse (234246032), we get a palindrome (464888464).

The spelling of 230642432 in words is "two hundred thirty million, six hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 89 106 128 178 191 212 256 356 382 424 712 764 848 1424 1528 1696 2848 3056 3392 4717 5696 6112 6784 9434 10123 11392 12224 13568 16999 18868 20246 22784 24448 33998 37736 40492 48896 67996 75472 80984 135992 150944 161968 271984 301888 323936 543968 603776 647872 900947 1087936 1207552 1295744 1801894 2175872 2591488 3603788 4351744 7207576 14415152 28830304 57660608 115321216 230642432