Search a number
-
+
222201101122000 = 245371113596130839
BaseRepresentation
bin110010100001011100111001…
…101100110111100111010000
31002010202012212210011220002221
4302201130321230313213100
5213111020323341401000
62104325435431350424
764542333266226640
oct6241347154674720
91063665783156087
10222201101122000
1164888a598a3650
1220b0808b222414
1396ca6212aa710
143cc283ab64520
151aa4e61d8061a
hexca1739b379d0

222201101122000 has 1280 divisors, whose sum is σ = 745663474483200. Its totient is φ = 61814154240000.

The previous prime is 222201101121977. The next prime is 222201101122027. The reversal of 222201101122000 is 221101102222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7205182581 + ... + 7205213419.

It is an arithmetic number, because the mean of its divisors is an integer number (582549589440).

Almost surely, 2222201101122000 is an apocalyptic number.

222201101122000 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 222201101122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372831737241600).

222201101122000 is an abundant number, since it is smaller than the sum of its proper divisors (523462373361200).

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

222201101122000 is a wasteful number, since it uses less digits than its factorization.

222201101122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31013 (or 30997 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222201101122000 its reverse (221101102222), we get a palindrome (222422202224222).

The spelling of 222201101122000 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred one million, one hundred twenty-two thousand".