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221432001000324 = 223316177031266799
BaseRepresentation
bin110010010110010000100111…
…110000101111001110000100
31002001000200200212121121111020
4302112100213300233032010
5213010420214224002244
62102540242410511140
764432635260114502
oct6226204760571604
91061020625547436
10221432001000324
1164611869931884
1220a030091354b0
139672c42c7931a
143c9751a571672
151a8ee4b6bcd19
hexc96427c2f384

221432001000324 has 96 divisors (see below), whose sum is σ = 542155699814400. Its totient is φ = 70249523011200.

The previous prime is 221432001000307. The next prime is 221432001000347. The reversal of 221432001000324 is 423000100234122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221432001000294 and 221432001000303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174163077 + ... + 175429875.

It is an arithmetic number, because the mean of its divisors is an integer number (5647455206400).

Almost surely, 2221432001000324 is an apocalyptic number.

It is an amenable number.

221432001000324 is an abundant number, since it is smaller than the sum of its proper divisors (320723698814076).

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

221432001000324 is a wasteful number, since it uses less digits than its factorization.

221432001000324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274601 (or 1274599 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221432001000324 its reverse (423000100234122), we get a palindrome (644432101234446).

The spelling of 221432001000324 in words is "two hundred twenty-one trillion, four hundred thirty-two billion, one million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 31 61 62 93 122 124 183 186 244 366 372 732 1891 3782 5673 7564 7703 11346 15406 22692 23109 30812 46218 92436 238793 469883 477586 716379 939766 955172 1266799 1409649 1432758 1879532 2533598 2819298 2865516 3800397 5067196 5638596 7600794 14566373 15201588 29132746 39270769 43699119 58265492 77274739 78541538 87398238 117812307 154549478 157083076 174796476 231824217 235624614 309098956 463648434 471249228 927296868 2395516909 4791033818 7186550727 9582067636 9758152697 14373101454 19516305394 28746202908 29274458091 39032610788 58548916182 117097832364 302502733607 595247314517 605005467214 907508200821 1190494629034 1210010934428 1785741943551 1815016401642 2380989258068 3571483887102 3630032803284 7142967774204 18452666750027 36905333500054 55358000250081 73810667000108 110716000500162 221432001000324