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222221020010020 = 22511111051000501
BaseRepresentation
bin110010100001101111011100…
…111101011001011000100100
31002010211010021222002020122021
4302201233130331121120210
5213111332122110310040
62104342532142312524
764543640015046523
oct6241573475313044
91063733258066567
10222221020010020
1164896450561a79
1220b0bb09b88744
1396cc476c25aa5
143cc37aa3744ba
151aa572a92824a
hexca1bdcf59624

222221020010020 has 12 divisors (see below), whose sum is σ = 466664142021084. Its totient is φ = 88888408004000.

The previous prime is 222221020009997. The next prime is 222221020010039. The reversal of 222221020010020 is 20010020122222.

It can be written as a sum of positive squares in 2 ways, for example, as 137455411843044 + 84765608166976 = 11724138^2 + 9206824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222221020009976 and 222221020010003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5555525500231 + ... + 5555525500270.

It is an arithmetic number, because the mean of its divisors is an integer number (38888678501757).

Almost surely, 2222221020010020 is an apocalyptic number.

222221020010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222221020010020 is an abundant number, since it is smaller than the sum of its proper divisors (244443122011064).

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

222221020010020 is a wasteful number, since it uses less digits than its factorization.

222221020010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111051000510 (or 11111051000508 counting only the distinct ones).

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

Adding to 222221020010020 its reverse (20010020122222), we get a palindrome (242231040132242).

The spelling of 222221020010020 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 11111051000501 22222102001002 44444204002004 55555255002505 111110510005010 222221020010020