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230440992 = 25341127461
BaseRepresentation
bin11011011110001…
…00000000100000
3121001121121121120
431233010000200
5432443102432
634511052240
75465500425
oct1557040040
9531547546
10230440992
11109094801
1265211080
1338984c22
1422867d4c
151536dc2c
hexdbc4020

230440992 has 96 divisors (see below), whose sum is σ = 625895424. Its totient is φ = 74188800.

The previous prime is 230440963. The next prime is 230440993. The reversal of 230440992 is 299044032.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (230440993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499642 + ... + 500102.

It is an arithmetic number, because the mean of its divisors is an integer number (6519744).

Almost surely, 2230440992 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 230440992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312947712).

230440992 is an abundant number, since it is smaller than the sum of its proper divisors (395454432).

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

230440992 is a wasteful number, since it uses less digits than its factorization.

230440992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 230440992 is about 15180.2830013146. The cubic root of 230440992 is about 613.0839008842.

The spelling of 230440992 in words is "two hundred thirty million, four hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 127 164 246 254 328 381 461 492 508 656 762 922 984 1016 1312 1383 1524 1844 1968 2032 2766 3048 3688 3936 4064 5207 5532 6096 7376 10414 11064 12192 14752 15621 18901 20828 22128 31242 37802 41656 44256 56703 58547 62484 75604 83312 113406 117094 124968 151208 166624 175641 226812 234188 249936 302416 351282 453624 468376 499872 604832 702564 907248 936752 1405128 1814496 1873504 2400427 2810256 4800854 5620512 7201281 9601708 14402562 19203416 28805124 38406832 57610248 76813664 115220496 230440992