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22105253322 = 234612236921
BaseRepresentation
bin10100100101100100…
…110110010111001010
32010001112221012220000
4110211210312113022
5330232421101242
614053252143430
71411534360455
oct244544662712
963045835800
1022105253322
119413925aa9
12434b007b76
1321138b4969
1410d9b3c49c
158959bea4c
hex5259365ca

22105253322 has 40 divisors (see below), whose sum is σ = 50344166532. Its totient is φ = 7247620800.

The previous prime is 22105253311. The next prime is 22105253329. The reversal of 22105253322 is 22335250122.

22105253322 is a `hidden beast` number, since 2 + 2 + 105 + 2 + 533 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21761855361 + 343397961 = 147519^2 + 18531^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22105253329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1108579 + ... + 1128342.

Almost surely, 222105253322 is an apocalyptic number.

22105253322 is an abundant number, since it is smaller than the sum of its proper divisors (28238913210).

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

22105253322 is a wasteful number, since it uses less digits than its factorization.

22105253322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236996 (or 2236987 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 22105253322 in words is "twenty-two billion, one hundred five million, two hundred fifty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 3294 4941 9882 2236921 4473842 6710763 13421526 20132289 40264578 60396867 120793734 136452181 181190601 272904362 362381202 409356543 818713086 1228069629 2456139258 3684208887 7368417774 11052626661 22105253322