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222201012002220 = 2232519614572330633
BaseRepresentation
bin110010100001011100110100…
…011000111001110110101100
31002010202012122120111010202100
4302201130310120321312230
5213111020133033032340
62104325422525255100
764542331134561336
oct6241346430716654
91063665576433670
10222201012002220
1164888a13563639
1220b08065404490
1396ca6089a6314
143cc282cda6456
151aa4e59129830
hexca1734639dac

222201012002220 has 288 divisors, whose sum is σ = 722693059058880. Its totient is φ = 55093903073280.

The previous prime is 222201012002143. The next prime is 222201012002231. The reversal of 222201012002220 is 22200210102222.

222201012002220 is a `hidden beast` number, since 22 + 220 + 1 + 0 + 1 + 200 + 2 + 220 = 666.

222201012002220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 222201012002193 and 222201012002202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94174024 + ... + 96504656.

It is an arithmetic number, because the mean of its divisors is an integer number (2509350899510).

Almost surely, 2222201012002220 is an apocalyptic number.

222201012002220 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 222201012002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361346529529440).

222201012002220 is an abundant number, since it is smaller than the sum of its proper divisors (500492047056660).

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

222201012002220 is a wasteful number, since it uses less digits than its factorization.

222201012002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331185 (or 2331180 counting only the distinct ones).

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

Adding to 222201012002220 its reverse (22200210102222), we get a palindrome (244401222104442).

The spelling of 222201012002220 in words is "two hundred twenty-two trillion, two hundred one billion, twelve million, two thousand, two hundred twenty".