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221443714421640 = 233252153285704333
BaseRepresentation
bin110010010110011011100001…
…111011111001001110001000
31002001001210221012111001210100
4302112123201323321032020
5213011113211342443030
62102545501002045400
764433531451421044
oct6226334173711610
91061053835431710
10221443714421640
116461682a846667
1220a05337aa9860
13967408b931c59
143c97d0c0b1024
151a903d4bd1360
hexc966e1ef9388

221443714421640 has 96 divisors (see below), whose sum is σ = 720026348460120. Its totient is φ = 59024229356544.

The previous prime is 221443714421623. The next prime is 221443714421647. The reversal of 221443714421640 is 46124417344122.

221443714421640 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 43 + 7 + 1 + 442 + 164 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161859919766724 + 59583794654916 = 12722418^2 + 7719054^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (221443714421647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142077087 + ... + 143627246.

Almost surely, 2221443714421640 is an apocalyptic number.

221443714421640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221443714421640 is an abundant number, since it is smaller than the sum of its proper divisors (498582634038480).

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

221443714421640 is a wasteful number, since it uses less digits than its factorization.

221443714421640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285706503 (or 285706496 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 221443714421640 in words is "two hundred twenty-one trillion, four hundred forty-three billion, seven hundred fourteen million, four hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2153 4306 6459 8612 10765 12918 17224 19377 21530 25836 32295 38754 43060 51672 64590 77508 86120 96885 129180 155016 193770 258360 387540 775080 285704333 571408666 857112999 1142817332 1428521665 1714225998 2285634664 2571338997 2857043330 3428451996 4285564995 5142677994 5714086660 6856903992 8571129990 10285355988 11428173320 12856694985 17142259980 20570711976 25713389970 34284519960 51426779940 102853559880 615121428949 1230242857898 1845364286847 2460485715796 3075607144745 3690728573694 4920971431592 5536092860541 6151214289490 7381457147388 9226821434235 11072185721082 12302428578980 14762914294776 18453642868470 22144371442164 24604857157960 27680464302705 36907285736940 44288742884328 55360928605410 73814571473880 110721857210820 221443714421640