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22220102120 = 235555502553
BaseRepresentation
bin10100101100011010…
…111101100111101000
32010100120001010211012
4110230122331213220
5331001321231440
614112513523052
71414430515556
oct245432754750
963316033735
1022220102120
119472739667
124381573488
132131627028
14110b0b6bd6
158a0b08e65
hex52c6bd9e8

22220102120 has 16 divisors (see below), whose sum is σ = 49995229860. Its totient is φ = 8888040832.

The previous prime is 22220102101. The next prime is 22220102147. The reversal of 22220102120 is 2120102222.

It can be written as a sum of positive squares in 2 ways, for example, as 22213517764 + 6584356 = 149042^2 + 2566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22220102095 and 22220102104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 277751237 + ... + 277751316.

Almost surely, 222220102120 is an apocalyptic number.

22220102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22220102120 is an abundant number, since it is smaller than the sum of its proper divisors (27775127740).

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

22220102120 is a wasteful number, since it uses less digits than its factorization.

22220102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555502564 (or 555502560 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22220102120 its reverse (2120102222), we get a palindrome (24340204342).

The spelling of 22220102120 in words is "twenty-two billion, two hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 555502553 1111005106 2222010212 2777512765 4444020424 5555025530 11110051060 22220102120