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221443041420 = 223251772367007
BaseRepresentation
bin1100111000111100001…
…0001010100010001100
3210011120202011001102200
43032033002022202030
512112003404311140
6245421324521500
721666364536516
oct3161702124214
9704522131380
10221443041420
1185a05907637
1236b009b0290
1317b60965573
14aa09cc0bb6
155b60c38030
hex338f08a88c

221443041420 has 72 divisors (see below), whose sum is σ = 711222954624. Its totient is φ = 55577860608.

The previous prime is 221443041401. The next prime is 221443041493. The reversal of 221443041420 is 24140344122.

221443041420 is a `hidden beast` number, since 2 + 214 + 4 + 30 + 414 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36180444 + ... + 36186563.

It is an arithmetic number, because the mean of its divisors is an integer number (9878096592).

Almost surely, 2221443041420 is an apocalyptic number.

221443041420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221443041420 is an abundant number, since it is smaller than the sum of its proper divisors (489779913204).

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

221443041420 is a wasteful number, since it uses less digits than its factorization.

221443041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72367039 (or 72367034 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 221443041420 its reverse (24140344122), we get a palindrome (245583385542).

The spelling of 221443041420 in words is "two hundred twenty-one billion, four hundred forty-three million, forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 72367007 144734014 217101021 289468028 361835035 434202042 651303063 723670070 868404084 1085505105 1230239119 1302606126 1447340140 2171010210 2460478238 2605212252 3256515315 3690717357 4342020420 4920956476 6151195595 6513030630 7381434714 11072152071 12302391190 13026061260 14762869428 18453586785 22144304142 24604782380 36907173570 44288608284 55360760355 73814347140 110721520710 221443041420