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221335533540 = 2232511111785623
BaseRepresentation
bin1100111000100010100…
…0000011011111100100
3210011022020212002100100
43032020220003133210
512111243344033130
6245402524344100
721663620664462
oct3161050033744
9704266762310
10221335533540
1185960158350
1236a909a5030
1317b445c3634
14a9d98d7832
155b5659dc60
hex3388a037e4

221335533540 has 72 divisors (see below), whose sum is σ = 732419408448. Its totient is φ = 53657098560.

The previous prime is 221335533521. The next prime is 221335533577. The reversal of 221335533540 is 45335533122.

221335533540 is a `hidden beast` number, since 2 + 2 + 1 + 33 + 55 + 33 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221335533495 and 221335533504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55890832 + ... + 55894791.

It is an arithmetic number, because the mean of its divisors is an integer number (10172491784).

Almost surely, 2221335533540 is an apocalyptic number.

221335533540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221335533540 is an abundant number, since it is smaller than the sum of its proper divisors (511083874908).

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

221335533540 is a wasteful number, since it uses less digits than its factorization.

221335533540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111785649 (or 111785644 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 221335533540 in words is "two hundred twenty-one billion, three hundred thirty-five million, five hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 111785623 223571246 335356869 447142492 558928115 670713738 1006070607 1117856230 1229641853 1341427476 1676784345 2012141214 2235712460 2459283706 3353568690 3688925559 4024282428 4918567412 5030353035 6148209265 6707137380 7377851118 10060706070 11066776677 12296418530 14755702236 18444627795 20121412140 22133553354 24592837060 36889255590 44267106708 55333883385 73778511180 110667766770 221335533540