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22122202122 = 23215712896073
BaseRepresentation
bin10100100110100101…
…100000010000001010
32010002201211022021100
4110212211200100022
5330301240431442
614055055322230
71412131421046
oct244645402012
963081738240
1022122202122
119422451979
124354820376
13211726a337
1410dc0b1026
1589721b84c
hex52696040a

22122202122 has 48 divisors (see below), whose sum is σ = 48282104520. Its totient is φ = 7320208896.

The previous prime is 22122202103. The next prime is 22122202127. The reversal of 22122202122 is 22120222122.

It can be written as a sum of positive squares in 4 ways, for example, as 21930351921 + 191850201 = 148089^2 + 13851^2 .

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 = 22122202095 and 22122202104.

It is not an unprimeable number, because it can be changed into a prime (22122202127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3639678 + ... + 3645750.

Almost surely, 222122202122 is an apocalyptic number.

22122202122 is an abundant number, since it is smaller than the sum of its proper divisors (26159902398).

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

22122202122 is a wasteful number, since it uses less digits than its factorization.

22122202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7527 (or 7524 counting only the distinct ones).

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

Adding to 22122202122 its reverse (22120222122), we get a palindrome (44242424244).

The spelling of 22122202122 in words is "twenty-two billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 157 314 471 942 1289 1413 2578 2826 3867 6073 7734 11601 12146 18219 23202 36438 54657 109314 202373 404746 607119 953461 1214238 1821357 1906922 2860383 3642714 5720766 7828097 8581149 15656194 17162298 23484291 46968582 70452873 140905746 1229011229 2458022458 3687033687 7374067374 11061101061 22122202122