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22212022122 = 2334371134731
BaseRepresentation
bin10100101011111100…
…001000111101101010
32010022222211122011000
4110223330020331222
5330442234201442
614112024415430
71414302033663
oct245374107552
963288748130
1022212022122
11946911aa84
12437a917576
13212ca58374
141109db236a
158a005ed4c
hex52bf08f6a

22212022122 has 64 divisors (see below), whose sum is σ = 51219717120. Its totient is φ = 7129911600.

The previous prime is 22212022097. The next prime is 22212022127. The reversal of 22212022122 is 22122021222.

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 = 22212022095 and 22212022104.

It is not an unprimeable number, because it can be changed into a prime (22212022127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97497 + ... + 232227.

It is an arithmetic number, because the mean of its divisors is an integer number (800308080).

Almost surely, 222212022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22212022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25609858560).

22212022122 is an abundant number, since it is smaller than the sum of its proper divisors (29007694998).

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

22212022122 is a wasteful number, since it uses less digits than its factorization.

22212022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134856 (or 134850 counting only the distinct ones).

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

Adding to 22212022122 its reverse (22122021222), we get a palindrome (44334043344).

The spelling of 22212022122 in words is "twenty-two billion, two hundred twelve million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 71 86 129 142 213 258 387 426 639 774 1161 1278 1917 2322 3053 3834 6106 9159 18318 27477 54954 82431 134731 164862 269462 404193 808386 1212579 2425158 3637737 5793433 7275474 9565901 11586866 17380299 19131802 28697703 34760598 52140897 57395406 86093109 104281794 156422691 172186218 258279327 312845382 411333743 516558654 822667486 1234001229 2468002458 3702003687 7404007374 11106011061 22212022122