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220053281040 = 24335107952117
BaseRepresentation
bin1100110011110000110…
…0101001100100010000
3210000222220001220121000
43030330030221210100
512101132114443130
6245031401302000
721620061012135
oct3147414514420
9700886056530
10220053281040
118536238203a
1236793494900
131799ba60748
14a9174b658c
155acdc17260
hex333c329910

220053281040 has 160 divisors (see below), whose sum is σ = 765045855360. Its totient is φ = 58132394496.

The previous prime is 220053280991. The next prime is 220053281051. The reversal of 220053281040 is 40182350022.

220053281040 is a `hidden beast` number, since 2 + 20 + 0 + 532 + 8 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220053280995 and 220053281013.

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, 244939 + ... + 707178.

It is an arithmetic number, because the mean of its divisors is an integer number (4781536596).

Almost surely, 2220053281040 is an apocalyptic number.

220053281040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220053281040 is an abundant number, since it is smaller than the sum of its proper divisors (544992574320).

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

220053281040 is a wasteful number, since it uses less digits than its factorization.

220053281040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952246 (or 952234 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 220053281040 in words is "two hundred twenty billion, fifty-three million, two hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 107 108 120 135 144 180 214 216 240 270 321 360 428 432 535 540 642 720 856 963 1070 1080 1284 1605 1712 1926 2140 2160 2568 2889 3210 3852 4280 4815 5136 5778 6420 7704 8560 9630 11556 12840 14445 15408 19260 23112 25680 28890 38520 46224 57780 77040 115560 231120 952117 1904234 2856351 3808468 4760585 5712702 7616936 8569053 9521170 11425404 14281755 15233872 17138106 19042340 22850808 25707159 28563510 34276212 38084680 42845265 45701616 51414318 57127020 68552424 76169360 85690530 101876519 102828636 114254040 128535795 137104848 171381060 203753038 205657272 228508080 257071590 305629557 342762120 407506076 411314544 509382595 514143180 611259114 685524240 815012152 916888671 1018765190 1028286360 1222518228 1528147785 1630024304 1833777342 2037530380 2056572720 2445036456 2750666013 3056295570 3667554684 4075060760 4584443355 4890072912 5501332026 6112591140 7335109368 8150121520 9168886710 11002664052 12225182280 13753330065 14670218736 18337773420 22005328104 24450364560 27506660130 36675546840 44010656208 55013320260 73351093680 110026640520 220053281040