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22257463452 = 2237317312331
BaseRepresentation
bin10100101110101001…
…011111000010011100
32010110011100021221020
4110232221133002130
5331040402312302
614120330404140
71415363214000
oct245651370234
963404307836
1022257463452
1194918377a4
124391b90650
1321392a8823
141112040700
158a4038ebc
hex52ea5f09c

22257463452 has 288 divisors, whose sum is σ = 66462681600. Its totient is φ = 5774630400.

The previous prime is 22257463433. The next prime is 22257463453. The reversal of 22257463452 is 25436475222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22257463453) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67242927 + ... + 67243257.

It is an arithmetic number, because the mean of its divisors is an integer number (230773200).

Almost surely, 222257463452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22257463452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33231340800).

22257463452 is an abundant number, since it is smaller than the sum of its proper divisors (44205218148).

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

22257463452 is a wasteful number, since it uses less digits than its factorization.

22257463452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 391 counting only the distinct ones).

The product of its digits is 806400, while the sum is 42.

The spelling of 22257463452 in words is "twenty-two billion, two hundred fifty-seven million, four hundred sixty-three thousand, four hundred fifty-two".