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221002000321230 = 232554131370933091
BaseRepresentation
bin110010010000000000001001…
…101110010100101011001110
31001222111120210101110211120200
4302100000021232110223032
5212431344044040234410
62102010530051554330
764356603406465662
oct6220001156245316
91058446711424520
10221002000321230
1164466470742217
12209538028bb9a6
139641526098a7b
143c807a7c288a2
151a83b810b43c0
hexc90009b94ace

221002000321230 has 96 divisors (see below), whose sum is σ = 574770644716320. Its totient is φ = 58916900655360.

The previous prime is 221002000321213. The next prime is 221002000321231. The reversal of 221002000321230 is 32123000200122.

221002000321230 is a `hidden beast` number, since 2 + 210 + 0 + 200 + 0 + 3 + 21 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002000321231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6678596985 + ... + 6678630075.

It is an arithmetic number, because the mean of its divisors is an integer number (5987194215795).

Almost surely, 2221002000321230 is an apocalyptic number.

221002000321230 is an abundant number, since it is smaller than the sum of its proper divisors (353768644395090).

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

221002000321230 is a wasteful number, since it uses less digits than its factorization.

221002000321230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52226 (or 52223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221002000321230 its reverse (32123000200122), we get a palindrome (253125000521352).

The spelling of 221002000321230 in words is "two hundred twenty-one trillion, two billion, three hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 5413 10826 13709 16239 27065 27418 32478 33091 41127 48717 54130 66182 68545 81195 82254 97434 99273 123381 137090 162390 165455 198546 205635 243585 246762 297819 330910 411270 487170 496365 595638 616905 992730 1233810 1489095 2978190 74206817 148413634 179121583 222620451 358243166 371034085 445240902 453644519 537364749 667861353 742068170 895607915 907289038 1074729498 1113102255 1335722706 1360933557 1612094247 1791215830 2226204510 2268222595 2686823745 2721867114 3224188494 3339306765 4082800671 4536445190 5373647490 6678613530 6804667785 8060471235 8165601342 13609335570 16120942470 20414003355 40828006710 2455577781347 4911155562694 7366733344041 12277888906735 14733466688082 22100200032123 24555777813470 36833666720205 44200400064246 73667333440410 110501000160615 221002000321230