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22422205440 = 210325539181
BaseRepresentation
bin10100111000011101…
…111011010000000000
32010212122100001110100
4110320131323100000
5331410041033230
614144533402400
71422433413225
oct247035732000
963778301410
1022422205440
1195668288a8
124419199400
1321644697ab
141129c8594c
158b372b660
hex53877b400

22422205440 has 264 divisors, whose sum is σ = 79166873448. Its totient is φ = 5865799680.

The previous prime is 22422205439. The next prime is 22422205453. The reversal of 22422205440 is 4450222422.

It can be written as a sum of positive squares in 4 ways, for example, as 5351215104 + 17070990336 = 73152^2 + 130656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2437650 + ... + 2446830.

Almost surely, 222422205440 is an apocalyptic number.

22422205440 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 22422205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39583436724).

22422205440 is an abundant number, since it is smaller than the sum of its proper divisors (56744668008).

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

22422205440 is a wasteful number, since it uses less digits than its factorization.

22422205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9265 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 22422205440 its reverse (4450222422), we get a palindrome (26872427862).

The spelling of 22422205440 in words is "twenty-two billion, four hundred twenty-two million, two hundred five thousand, four hundred forty".