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222342141243222 = 2327112138397139339
BaseRepresentation
bin110010100011100000010000…
…010110001110111101010110
31002011020200221010001101221100
4302203200100112032331112
5213120323201124240342
62104514323010530530
764555455350411430
oct6243402026167526
91064220833041840
10222342141243222
1164932855314200
1220b2b491296a46
13970aa0a4b6650
143cc95ba585650
151aa896905ae4c
hexca381058ef56

222342141243222 has 576 divisors, whose sum is σ = 666370002654720. Its totient is φ = 52123202334720.

The previous prime is 222342141243217. The next prime is 222342141243227.

It is a happy number.

222342141243222 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 4 + 214 + 1 + 2 + 432 + 2 + 2 = 666.

222342141243222 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (222342141243217) and next prime (222342141243227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222342141243227) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1595622429 + ... + 1595761767.

It is an arithmetic number, because the mean of its divisors is an integer number (1156892365720).

Almost surely, 2222342141243222 is an apocalyptic number.

222342141243222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222342141243222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333185001327360).

222342141243222 is an abundant number, since it is smaller than the sum of its proper divisors (444027861411498).

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

222342141243222 is a wasteful number, since it uses less digits than its factorization.

222342141243222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139569 (or 139555 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 222342141243222 in words is "two hundred twenty-two trillion, three hundred forty-two billion, one hundred forty-one million, two hundred forty-three thousand, two hundred twenty-two".