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22112202222 = 23211111677789
BaseRepresentation
bin10100100101111111…
…010110110111101110
32010002001000020222200
4110211333112313232
5330241210432342
614054101122330
71411650421605
oct244577266756
963061006880
1022112202222
1194178418a0
1243513b93a6
132115178836
1410daa2aa3c
158963e394c
hex525fd6dee

22112202222 has 24 divisors (see below), whose sum is σ = 52265205720. Its totient is φ = 6700667280.

The previous prime is 22112202221. The next prime is 22112202227. The reversal of 22112202222 is 22220221122.

22112202222 is a `hidden beast` number, since 221 + 1 + 220 + 2 + 222 = 666.

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 = 22112202195 and 22112202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112202221) 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 11 ways as a sum of consecutive naturals, for example, 55838697 + ... + 55839092.

It is an arithmetic number, because the mean of its divisors is an integer number (2177716905).

Almost surely, 222112202222 is an apocalyptic number.

22112202222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22112202222 is an abundant number, since it is smaller than the sum of its proper divisors (30153003498).

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

22112202222 is a wasteful number, since it uses less digits than its factorization.

22112202222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111677808 (or 111677805 counting only the distinct ones).

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

Adding to 22112202222 its reverse (22220221122), we get a palindrome (44332423344).

The spelling of 22112202222 in words is "twenty-two billion, one hundred twelve million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 111677789 223355578 335033367 670066734 1005100101 1228455679 2010200202 2456911358 3685367037 7370734074 11056101111 22112202222