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221222120022 = 23259895714099
BaseRepresentation
bin1100111000000111011…
…1011010101001010110
3210011000100110002020200
43032001313122221112
512111030330320042
6245343353441330
721661042665021
oct3160167325126
9704010402220
10221222120022
1185902135072
1236a5aa10246
1317b26c64647
14a9c88141b8
155b4b649c4c
hex3381ddaa56

221222120022 has 96 divisors (see below), whose sum is σ = 493899120000. Its totient is φ = 71533376640.

The previous prime is 221222120017. The next prime is 221222120027. The reversal of 221222120022 is 220021222122.

221222120022 is a `hidden beast` number, since 221 + 2 + 221 + 200 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (221222120017) and next prime (221222120027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221222119977 and 221222120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221222120027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53967729 + ... + 53971827.

It is an arithmetic number, because the mean of its divisors is an integer number (5144782500).

Almost surely, 2221222120022 is an apocalyptic number.

221222120022 is an abundant number, since it is smaller than the sum of its proper divisors (272676999978).

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

221222120022 is a wasteful number, since it uses less digits than its factorization.

221222120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221222120022 its reverse (220021222122), we get a palindrome (441243342144).

The spelling of 221222120022 in words is "two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 59 89 118 177 178 267 354 531 534 571 801 1062 1142 1602 1713 3426 4099 5139 5251 8198 10278 10502 12297 15753 24594 31506 33689 36891 47259 50819 67378 73782 94518 101067 101638 152457 202134 241841 303201 304914 364811 457371 483682 606402 725523 729622 914742 1094433 1451046 2176569 2188866 2340529 2998321 3283299 4353138 4681058 5996642 6566598 7021587 8994963 14043174 17989926 21064761 21523849 26984889 42129522 43047698 53969778 64571547 129143094 138091211 193714641 208307081 276182422 387429282 414273633 416614162 624921243 828547266 1242820899 1249842486 1874763729 2485641798 3749527458 12290117779 24580235558 36870353337 73740706674 110611060011 221222120022