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222134552151012 = 22326170404226417
BaseRepresentation
bin110010100000011110111011…
…000100101100001111100100
31002010111212002212112220001200
4302200132323010230033210
5213103423030322313022
62104235112100122500
764534456165266234
oct6240367304541744
91063455085486050
10222134552151012
1164862809720776
1220ab71b8096430
1396c4276b14787
143cbd5265ddcc4
151aa3369706bac
hexca07bb12c3e4

222134552151012 has 18 divisors (see below), whose sum is σ = 561506784604038. Its totient is φ = 74044850716992.

The previous prime is 222134552151011. The next prime is 222134552151037. The reversal of 222134552151012 is 210151255431222.

222134552151012 is a `hidden beast` number, since 2 + 2 + 2 + 134 + 5 + 5 + 2 + 1 + 510 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124407566746596 + 97726985404416 = 11153814^2 + 9885696^2 .

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 (36), and also a Moran number because the ratio is a prime number: 6170404226417 = 222134552151012 / (2 + 2 + 2 + 1 + 3 + 4 + 5 + 5 + 2 + 1 + 5 + 1 + 0 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (222134552151011) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3085202113173 + ... + 3085202113244.

It is an arithmetic number, because the mean of its divisors is an integer number (31194821366891).

Almost surely, 2222134552151012 is an apocalyptic number.

It is an amenable number.

222134552151012 is an abundant number, since it is smaller than the sum of its proper divisors (339372232453026).

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

222134552151012 is a wasteful number, since it uses less digits than its factorization.

222134552151012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170404226427 (or 6170404226422 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 222134552151012 in words is "two hundred twenty-two trillion, one hundred thirty-four billion, five hundred fifty-two million, one hundred fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 6170404226417 12340808452834 18511212679251 24681616905668 37022425358502 55533638037753 74044850717004 111067276075506 222134552151012