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222112210022010 = 23257113143104922921
BaseRepresentation
bin110010100000001010000111…
…011000001110111001111010
31002010102201102210220010211100
4302200022013120032321322
5213103041301231201020
62104220535102512230
764533035423315010
oct6240120730167172
91063381383803740
10222112210022010
1164854294116550
1220ab2a01895676
1396c21261340b9
143cbc4072408b0
151aa29ad046a90
hexca028760ee7a

222112210022010 has 768 divisors, whose sum is σ = 761257444147200. Its totient is φ = 43582178304000.

The previous prime is 222112210021943. The next prime is 222112210022029. The reversal of 222112210022010 is 10220012211222.

It is a happy number.

222112210022010 is a `hidden beast` number, since 2 + 2 + 211 + 221 + 0 + 0 + 220 + 10 = 666.

It is a super-2 number, since 2×2221122100220102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9690325350 + ... + 9690348270.

It is an arithmetic number, because the mean of its divisors is an integer number (991220630400).

Almost surely, 2222112210022010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222112210022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380628722073600).

222112210022010 is an abundant number, since it is smaller than the sum of its proper divisors (539145234125190).

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

222112210022010 is a wasteful number, since it uses less digits than its factorization.

222112210022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24075 (or 24072 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222112210022010 its reverse (10220012211222), we get a palindrome (232332222233232).

The spelling of 222112210022010 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred ten million, twenty-two thousand, ten".