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220022110220200 = 23524189809372661
BaseRepresentation
bin110010000001101111100011…
…101110001110111110101000
31001212000220112011101010101121
4302001233203232032332220
5212314320240204021300
62055540432334225024
764226034000165001
oct6201574356167650
91055026464333347
10220022110220200
1164118942289042
1220815913655174
13959ccc41a6242
143c491ac5141a8
151a6843007681a
hexc81be3b8efa8

220022110220200 has 192 divisors, whose sum is σ = 530572677894000. Its totient is φ = 84792373248000.

The previous prime is 220022110220069. The next prime is 220022110220233. The reversal of 220022110220200 is 2022011220022.

It can be written as a sum of positive squares in 24 ways, for example, as 47574209528836 + 172447900691364 = 6897406^2 + 13131942^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590221870 + ... + 590594530.

Almost surely, 2220022110220200 is an apocalyptic number.

220022110220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220022110220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265286338947000).

220022110220200 is an abundant number, since it is smaller than the sum of its proper divisors (310550567673800).

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

220022110220200 is a wasteful number, since it uses less digits than its factorization.

220022110220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373616 (or 373607 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220022110220200 its reverse (2022011220022), we get a palindrome (222044121440222).

The spelling of 220022110220200 in words is "two hundred twenty trillion, twenty-two billion, one hundred ten million, two hundred twenty thousand, two hundred".