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222221313123020 = 2252371101137491731
BaseRepresentation
bin110010100001101111101110…
…011011100010001011001100
31002010211011001101121221002022
4302201233232123202023030
5213111333222124414040
62104343021212545312
764543650204343421
oct6241575633421314
91063734041557068
10222221313123020
1164896590a62122
1220b0bb90182238
1396cc4c2881c33
143cc37d7273d48
151aa57465266b5
hexca1bee6e22cc

222221313123020 has 192 divisors, whose sum is σ = 502343466412032. Its totient is φ = 82390344960000.

The previous prime is 222221313123013. The next prime is 222221313123059. The reversal of 222221313123020 is 20321313122222.

It is a super-2 number, since 2×2222213131230202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451670555 + ... + 452162285.

It is an arithmetic number, because the mean of its divisors is an integer number (2616372220896).

Almost surely, 2222221313123020 is an apocalyptic number.

222221313123020 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 222221313123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251171733206016).

222221313123020 is an abundant number, since it is smaller than the sum of its proper divisors (280122153289012).

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

222221313123020 is a wasteful number, since it uses less digits than its factorization.

222221313123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492072 (or 492070 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 222221313123020 its reverse (20321313122222), we get a palindrome (242542626245242).

The spelling of 222221313123020 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, three hundred thirteen million, one hundred twenty-three thousand, twenty".