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22112221122 = 2321228456729
BaseRepresentation
bin10100100101111111…
…011011011111000010
32010002001001012220200
4110211333123133002
5330241212033442
614054101350030
71411650530655
oct244577333702
963061035820
1022112221122
119417855012
124351408316
132115184314
1410daa3389c
158963e934c
hex525fdb7c2

22112221122 has 12 divisors (see below), whose sum is σ = 47909812470. Its totient is φ = 7370740368.

The previous prime is 22112221121. The next prime is 22112221123.

It is a happy number.

22112221122 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22112221121) and next prime (22112221123).

It can be written as a sum of positive squares in only one way, i.e., 11404317681 + 10707903441 = 106791^2 + 103479^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1228456729 = 22112221122 / (2 + 2 + 1 + 1 + 2 + 2 + 2 + 1 + 1 + 2 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22112221095 and 22112221104.

It is not an unprimeable number, because it can be changed into a prime (22112221121) 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, 614228347 + ... + 614228382.

Almost surely, 222112221122 is an apocalyptic number.

22112221122 is an abundant number, since it is smaller than the sum of its proper divisors (25797591348).

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

22112221122 is a wasteful number, since it uses less digits than its factorization.

22112221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228456737 (or 1228456734 counting only the distinct ones).

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

The spelling of 22112221122 in words is "twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1228456729 2456913458 3685370187 7370740374 11056110561 22112221122