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230431392 = 2534194679
BaseRepresentation
bin11011011110000…
…01101010100000
3121001121010110000
431233001222200
5432442301032
634510540000
75465430432
oct1557015240
9531533400
10230431392
11109088574
1265207600
1338980749
1422864652
151536ae7c
hexdbc1aa0

230431392 has 120 divisors (see below), whose sum is σ = 713512800. Its totient is φ = 72752256.

The previous prime is 230431391. The next prime is 230431417. The reversal of 230431392 is 293134032.

It is a happy number.

230431392 is a `hidden beast` number, since 230 + 43 + 1 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230431391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46909 + ... + 51587.

It is an arithmetic number, because the mean of its divisors is an integer number (5945940).

Almost surely, 2230431392 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 230431392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356756400).

230431392 is an abundant number, since it is smaller than the sum of its proper divisors (483081408).

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

230431392 is a wasteful number, since it uses less digits than its factorization.

230431392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 230431392 is about 15179.9667983827. The cubic root of 230431392 is about 613.0753872265.

The spelling of 230431392 in words is "two hundred thirty million, four hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 4679 5472 6156 8208 9358 12312 14037 16416 18716 24624 28074 37432 42111 49248 56148 74864 84222 88901 112296 126333 149728 168444 177802 224592 252666 266703 336888 355604 378999 449184 505332 533406 673776 711208 757998 800109 1010664 1066812 1347552 1422416 1515996 1600218 2021328 2133624 2400327 2844832 3031992 3200436 4042656 4267248 4800654 6063984 6400872 7200981 8534496 9601308 12127968 12801744 14401962 19202616 25603488 28803924 38405232 57607848 76810464 115215696 230431392