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22252233225222 = 2327211131031712899
BaseRepresentation
bin1010000111101000000000…
…11101001111010000000110
32220210021220101121210211100
411003310000131033100012
510404040033201201342
6115154311304320530
74454446040406300
oct503640035172006
986707811553740
1022252233225222
1170aa1345a5250
1225b476ba73146
13c554b849c620
1456d029d68970
15288c71c5de4c
hex143d0074f406

22252233225222 has 288 divisors, whose sum is σ = 66529474502400. Its totient is φ = 5283399623040.

The previous prime is 22252233225181. The next prime is 22252233225247.

22252233225222 is a `hidden beast` number, since 2 + 2 + 2 + 52 + 2 + 332 + 252 + 22 = 666.

22252233225222 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12134529 + ... + 13847427.

It is an arithmetic number, because the mean of its divisors is an integer number (231005119800).

Almost surely, 222252233225222 is an apocalyptic number.

22252233225222 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 22252233225222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264737251200).

22252233225222 is an abundant number, since it is smaller than the sum of its proper divisors (44277241277178).

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

22252233225222 is a wasteful number, since it uses less digits than its factorization.

22252233225222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713048 (or 1713038 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The spelling of 22252233225222 in words is "twenty-two trillion, two hundred fifty-two billion, two hundred thirty-three million, two hundred twenty-five thousand, two hundred twenty-two".