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22112202200022 = 23211313602509319
BaseRepresentation
bin1010000011100011001011…
…11101010001001111010110
32220021220110101112200111200
411001301211331101033112
510344241242230400042
6115010112213413330
74441360661341434
oct501614575211726
986256411480450
1022112202200022
117055806750450
1225915ab93a246
13c45230366b2c
14566344581d54
152852c845ec4c
hex141c65f513d6

22112202200022 has 48 divisors (see below), whose sum is σ = 53951179576320. Its totient is φ = 6484516772400.

The previous prime is 22112202199987. The next prime is 22112202200027. The reversal of 22112202200022 is 22000220221122.

22112202200022 is a `hidden beast` number, since 221 + 1 + 220 + 2 + 200 + 0 + 22 = 666.

It is a super-2 number, since 2×221122022000222 (a number of 27 digits) contains 22 as substring.

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 = 22112202199968 and 22112202200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112202200027) by changing a digit.

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, 1801248522 + ... + 1801260797.

It is an arithmetic number, because the mean of its divisors is an integer number (1123982907840).

Almost surely, 222112202200022 is an apocalyptic number.

22112202200022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22112202200022 is an abundant number, since it is smaller than the sum of its proper divisors (31838977376298).

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

22112202200022 is a wasteful number, since it uses less digits than its factorization.

22112202200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602509369 (or 3602509366 counting only the distinct ones).

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

Adding to 22112202200022 its reverse (22000220221122), we get a palindrome (44112422421144).

The spelling of 22112202200022 in words is "twenty-two trillion, one hundred twelve billion, two hundred two million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 3602509319 7205018638 10807527957 21615055914 32422583871 39627602509 64845167742 79255205018 111677788889 118882807527 223355577778 237765615054 335033366667 356648422581 670066733334 713296845162 1005100100001 1228455677779 2010200200002 2456911355558 3685367033337 7370734066674 11056101100011 22112202200022