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22212034100 = 2252222120341
BaseRepresentation
bin10100101011111100…
…001011111000110100
32010022222212020120122
4110223330023320310
5330442240042400
614112024551112
71414302113624
oct245374137064
963288766518
1022212034100
119469128a83
12437a922498
13212ca60959
141109db6884
158a0063685
hex52bf0be34

22212034100 has 18 divisors (see below), whose sum is σ = 48200114214. Its totient is φ = 8884813600.

The previous prime is 22212034093. The next prime is 22212034109. The reversal of 22212034100 is 143021222.

It can be written as a sum of positive squares in 3 ways, for example, as 995781136 + 21216252964 = 31556^2 + 145658^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212034109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111060071 + ... + 111060270.

It is an arithmetic number, because the mean of its divisors is an integer number (2677784123).

Almost surely, 222212034100 is an apocalyptic number.

22212034100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212034100 is an abundant number, since it is smaller than the sum of its proper divisors (25988080114).

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

22212034100 is a wasteful number, since it uses less digits than its factorization.

22212034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222120355 (or 222120348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22212034100 its reverse (143021222), we get a palindrome (22355055322).

The spelling of 22212034100 in words is "twenty-two billion, two hundred twelve million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222120341 444240682 888481364 1110601705 2221203410 4442406820 5553008525 11106017050 22212034100