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221213021133222 = 237151334930703
BaseRepresentation
bin110010010011000100101011…
…100010110101100110100110
31002000020202110210100210000000
4302103010223202311212212
5212443323231402230342
62102251505312202130
764411053612006126
oct6223045342654646
91060222423323000
10221213021133222
1164537a084665a8
1220988695239346
1396583b571b471
143c8aaa5876c86
151a893d1d3944c
hexc9312b8b59a6

221213021133222 has 64 divisors (see below), whose sum is σ = 500949155358720. Its totient is φ = 73249344527400.

The previous prime is 221213021133163. The next prime is 221213021133277. The reversal of 221213021133222 is 222331120312122.

221213021133222 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 1 + 302 + 1 + 1 + 332 + 22 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166804878 + ... + 168125825.

It is an arithmetic number, because the mean of its divisors is an integer number (7827330552480).

Almost surely, 2221213021133222 is an apocalyptic number.

221213021133222 is an abundant number, since it is smaller than the sum of its proper divisors (279736134225498).

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

221213021133222 is an equidigital number, since it uses as much as digits as its factorization.

221213021133222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334930877 (or 334930859 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 221213021133222 its reverse (222331120312122), we get a palindrome (443544141445344).

The spelling of 221213021133222 in words is "two hundred twenty-one trillion, two hundred thirteen billion, twenty-one million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 243 302 453 486 729 906 1359 1458 2187 2718 4077 4374 8154 12231 24462 36693 73386 110079 220158 330237 660474 334930703 669861406 1004792109 2009584218 3014376327 6028752654 9043128981 18086257962 27129386943 50574536153 54258773886 81388160829 101149072306 151723608459 162776321658 244164482487 303447216918 455170825377 488328964974 732493447461 910341650754 1365512476131 1464986894922 2731024952262 4096537428393 8193074856786 12289612285179 24579224570358 36868836855537 73737673711074 110606510566611 221213021133222