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222001121100222 = 23237333335016667
BaseRepresentation
bin110010011110100010101001…
…111101101000000110111110
31002010001002200211111012120200
4302132202221331220012332
5213044231244000201342
62104053523533424330
764522023510131322
oct6236425175500676
91063032624435520
10222001121100222
1164811168338382
1220a9537a33b0a6
1396b4801164a99
143cb6ca95a3982
151a9eb5a55594c
hexc9e8a9f681be

222001121100222 has 24 divisors (see below), whose sum is σ = 494002494701976. Its totient is φ = 72000363599856.

The previous prime is 222001121100217. The next prime is 222001121100251.

It is a happy number.

222001121100222 is a `hidden beast` number, since 2 + 220 + 0 + 1 + 121 + 100 + 222 = 666.

222001121100222 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2220011211002223 (a number of 44 digits) contains 333 as substring.

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 = 222001121100195 and 222001121100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166667507668 + ... + 166667508999.

It is an arithmetic number, because the mean of its divisors is an integer number (20583437279249).

Almost surely, 2222001121100222 is an apocalyptic number.

222001121100222 is an abundant number, since it is smaller than the sum of its proper divisors (272001373601754).

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

222001121100222 is a wasteful number, since it uses less digits than its factorization.

222001121100222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333335016712 (or 333335016709 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 222001121100222 in words is "two hundred twenty-two trillion, one billion, one hundred twenty-one million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 333335016667 666670033334 1000005050001 2000010100002 3000015150003 6000030300006 12333395616679 24666791233358 37000186850037 74000373700074 111000560550111 222001121100222