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230279005728 = 2534151588359
BaseRepresentation
bin1101011001110110110…
…0101100011000100000
3211000101112120112210000
43112131230230120200
512233102411140403
6253442210140000
722431346152432
oct3263554543040
9730345515700
10230279005728
118972a54a382
1238767b81600
131893b441205
14b2075d6652
155ecb8117a3
hex359db2c620

230279005728 has 120 divisors (see below), whose sum is σ = 681730378560. Its totient is φ = 76251196800.

The previous prime is 230279005727. The next prime is 230279005757. The reversal of 230279005728 is 827500972032.

230279005728 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 79 + 0 + 0 + 572 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (230279005727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97213 + ... + 685571.

It is an arithmetic number, because the mean of its divisors is an integer number (5681086488).

Almost surely, 2230279005728 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 230279005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340865189280).

230279005728 is an abundant number, since it is smaller than the sum of its proper divisors (451451372832).

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

230279005728 is a wasteful number, since it uses less digits than its factorization.

230279005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588532 (or 588515 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 230279005728 in words is "two hundred thirty billion, two hundred seventy-nine million, five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 151 162 216 288 302 324 432 453 604 648 864 906 1208 1296 1359 1812 2416 2592 2718 3624 4077 4832 5436 7248 8154 10872 12231 14496 16308 21744 24462 32616 43488 48924 65232 97848 130464 195696 391392 588359 1176718 1765077 2353436 3530154 4706872 5295231 7060308 9413744 10590462 14120616 15885693 18827488 21180924 28241232 31771386 42361848 47657079 56482464 63542772 84723696 88842209 95314158 127085544 169447392 177684418 190628316 254171088 266526627 355368836 381256632 508342176 533053254 710737672 762513264 799579881 1066106508 1421475344 1525026528 1599159762 2132213016 2398739643 2842950688 3198319524 4264426032 4797479286 6396639048 7196218929 8528852064 9594958572 12793278096 14392437858 19189917144 25586556192 28784875716 38379834288 57569751432 76759668576 115139502864 230279005728