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222212200000212 = 22326172561111117
BaseRepresentation
bin110010100001100111001111…
…001111101110101011010100
31002010210021112021200022202100
4302201213033033232223110
5213111211041200001322
62104334513031042100
764543205316153312
oct6241471717565324
91063707467608670
10222212200000212
1164892734927074
1220b0a268210330
1396cb69c845086
143cc31b0c130b2
151aa53b1451dac
hexca19cf3eead4

222212200000212 has 18 divisors (see below), whose sum is σ = 561703061111738. Its totient is φ = 74070733333392.

The previous prime is 222212200000211. The next prime is 222212200000213. The reversal of 222212200000212 is 212000002212222.

222212200000212 is a `hidden beast` number, since 222 + 212 + 20 + 0 + 0 + 0 + 0 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (222212200000211) and next prime (222212200000213).

It can be written as a sum of positive squares in only one way, i.e., 192707813941776 + 29504386058436 = 13881924^2 + 5431794^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222212200000211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3086280555523 + ... + 3086280555594.

Almost surely, 2222212200000212 is an apocalyptic number.

It is an amenable number.

222212200000212 is an abundant number, since it is smaller than the sum of its proper divisors (339490861111526).

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

222212200000212 is a wasteful number, since it uses less digits than its factorization.

222212200000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172561111127 (or 6172561111122 counting only the distinct ones).

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

Adding to 222212200000212 its reverse (212000002212222), we get a palindrome (434212202212434).

The spelling of 222212200000212 in words is "two hundred twenty-two trillion, two hundred twelve billion, two hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 6172561111117 12345122222234 18517683333351 24690244444468 37035366666702 55553050000053 74070733333404 111106100000106 222212200000212