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22432027420 = 225112341108127
BaseRepresentation
bin10100111001000011…
…011001001100011100
32010220022211001200101
4110321003121030130
5331420044334140
614145524110444
71422613041565
oct247103311434
963808731611
1022432027420
119571327240
124420535424
1321664c830a
14112b2c116c
158b451b99a
hex5390d931c

22432027420 has 96 divisors (see below), whose sum is σ = 54932484096. Its totient is φ = 7612070400.

The previous prime is 22432027403. The next prime is 22432027441. The reversal of 22432027420 is 2472023422.

It is a congruent number.

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, 153397 + ... + 261523.

It is an arithmetic number, because the mean of its divisors is an integer number (572213376).

Almost surely, 222432027420 is an apocalyptic number.

22432027420 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 22432027420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27466242048).

22432027420 is an abundant number, since it is smaller than the sum of its proper divisors (32500456676).

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

22432027420 is a wasteful number, since it uses less digits than its factorization.

22432027420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108211 (or 108209 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The spelling of 22432027420 in words is "twenty-two billion, four hundred thirty-two million, twenty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 41 44 46 55 82 92 110 115 164 205 220 230 253 410 451 460 506 820 902 943 1012 1265 1804 1886 2255 2530 3772 4510 4715 5060 9020 9430 10373 18860 20746 41492 51865 103730 108127 207460 216254 432508 540635 1081270 1189397 2162540 2378794 2486921 4433207 4757588 4973842 5946985 8866414 9947684 11893970 12434605 17732828 22166035 23787940 24869210 27356131 44332070 48765277 49738420 54712262 88664140 97530554 101963761 109424524 136780655 195061108 203927522 243826385 273561310 407855044 487652770 509818805 547122620 975305540 1019637610 1121601371 2039275220 2243202742 4486405484 5608006855 11216013710 22432027420