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22240426644 = 223237101165317
BaseRepresentation
bin10100101101101000…
…011111101010010100
32010101222021201211100
4110231220133222110
5331022022123034
614114521310100
71415065336002
oct245550375224
963358251740
1022240426644
119483160797
124388335330
1321358c2087
14110da87a72
158a27c1099
hex52da1fa94

22240426644 has 72 divisors (see below), whose sum is σ = 58310303688. Its totient is φ = 7141651200.

The previous prime is 22240426631. The next prime is 22240426661. The reversal of 22240426644 is 44662404222.

22240426644 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 0 + 4 + 2 + 6 + 644 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5602522500 + 16637904144 = 74850^2 + 128988^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22240426599 and 22240426608.

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, 51874 + ... + 217190.

It is an arithmetic number, because the mean of its divisors is an integer number (809865329).

Almost surely, 222240426644 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 22240426644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29155151844).

22240426644 is an abundant number, since it is smaller than the sum of its proper divisors (36069877044).

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

22240426644 is a wasteful number, since it uses less digits than its factorization.

22240426644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165465 (or 165460 counting only the distinct ones).

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

The spelling of 22240426644 in words is "twenty-two billion, two hundred forty million, four hundred twenty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 666 909 1212 1332 1818 3636 3737 7474 11211 14948 22422 33633 44844 67266 134532 165317 330634 495951 661268 991902 1487853 1983804 2975706 5951412 6116729 12233458 16697017 18350187 24466916 33394034 36700374 50091051 55050561 66788068 73400748 100182102 110101122 150273153 200364204 220202244 300546306 601092612 617789629 1235579258 1853368887 2471158516 3706737774 5560106661 7413475548 11120213322 22240426644