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230190474280 = 2351319137170063
BaseRepresentation
bin1101011001100001101…
…0111110010000101000
3211000011100222200110111
43112120122332100220
512232412230134110
6253425324424104
722426222514314
oct3263032762050
9730140880414
10230190474280
1189694581398
12387423a8034
1318925cb4840
14b1d994cb44
155ec3b74e8a
hex35986be428

230190474280 has 128 divisors (see below), whose sum is σ = 591414566400. Its totient is φ = 79931860992.

The previous prime is 230190474271. The next prime is 230190474287. The reversal of 230190474280 is 82474091032.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (230190474287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268529 + ... + 1438591.

It is an arithmetic number, because the mean of its divisors is an integer number (4620426300).

Almost surely, 2230190474280 is an apocalyptic number.

230190474280 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 230190474280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295707283200).

230190474280 is an abundant number, since it is smaller than the sum of its proper divisors (361224092120).

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

230190474280 is a wasteful number, since it uses less digits than its factorization.

230190474280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170243 (or 170239 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 230190474280 in words is "two hundred thirty billion, one hundred ninety million, four hundred seventy-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 137 152 190 247 260 274 380 494 520 548 685 760 988 1096 1235 1370 1781 1976 2470 2603 2740 3562 4940 5206 5480 7124 8905 9880 10412 13015 14248 17810 20824 26030 33839 35620 52060 67678 71240 104120 135356 169195 170063 270712 338390 340126 676780 680252 850315 1353560 1360504 1700630 2210819 3231197 3401260 4421638 6462394 6802520 8843276 11054095 12924788 16155985 17686552 22108190 23298631 25849576 32311970 42005561 44216380 46597262 64623940 84011122 88432760 93194524 116493155 129247880 168022244 186389048 210027805 232986310 302882203 336044488 420055610 442673989 465972620 605764406 840111220 885347978 931945240 1211528812 1514411015 1680222440 1770695956 2213369945 2423057624 3028822030 3541391912 4426739890 5754761857 6057644060 8853479780 11509523714 12115288120 17706959560 23019047428 28773809285 46038094856 57547618570 115095237140 230190474280