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22012200122202 = 23217577124671221
BaseRepresentation
bin1010000000101000111010…
…10111100111011101011010
32212221100100001222210000200
411000110131113213131122
510341121441212402302
6114452133134043030
74431220560610233
oct500243527473532
985840301883020
1022012200122202
11701735a126244
122576141349476
13c389842aa714
1456157914008a
152828c3e6481c
hex14051d5e775a

22012200122202 has 48 divisors (see below), whose sum is σ = 50586096353832. Its totient is φ = 6893819781120.

The previous prime is 22012200122191. The next prime is 22012200122243. The reversal of 22012200122202 is 20222100221022.

22012200122202 is a `hidden beast` number, since 220 + 1 + 220 + 0 + 1 + 2 + 220 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20380809569121 + 1631390553081 = 4514511^2 + 1277259^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62159049 + ... + 62512172.

Almost surely, 222012200122202 is an apocalyptic number.

22012200122202 is an abundant number, since it is smaller than the sum of its proper divisors (28573896231630).

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

22012200122202 is a wasteful number, since it uses less digits than its factorization.

22012200122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124671823 (or 124671820 counting only the distinct ones).

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

Adding to 22012200122202 its reverse (20222100221022), we get a palindrome (42234300343224).

The spelling of 22012200122202 in words is "twenty-two trillion, twelve billion, two hundred million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 577 1154 1731 3462 5193 9809 10386 19618 29427 58854 88281 176562 124671221 249342442 374013663 748027326 1122040989 2119410757 2244081978 4238821514 6358232271 12716464542 19074696813 38149393626 71935294517 143870589034 215805883551 431611767102 647417650653 1222900006789 1294835301306 2445800013578 3668700020367 7337400040734 11006100061101 22012200122202