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22244683424 = 255313795737
BaseRepresentation
bin10100101101111000…
…101110111010100000
32010102021022000000212
4110231320232322200
5331024114332144
614115152433252
71415146455305
oct245570567240
963367260025
1022244683424
1194855a8997
124389848828
132136752792
1411104750ac
158a2d6249e
hex52de2eea0

22244683424 has 48 divisors (see below), whose sum is σ = 44946693288. Its totient is φ = 10832719872.

The previous prime is 22244683393. The next prime is 22244683459. The reversal of 22244683424 is 42438644222.

It can be written as a sum of positive squares in 4 ways, for example, as 21992890000 + 251793424 = 148300^2 + 15868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184484 + ... + 280220.

Almost surely, 222244683424 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 22244683424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22473346644).

22244683424 is an abundant number, since it is smaller than the sum of its proper divisors (22702009864).

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

22244683424 is a wasteful number, since it uses less digits than its factorization.

22244683424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95937 (or 95929 counting only the distinct ones).

The product of its digits is 589824, while the sum is 41.

The spelling of 22244683424 in words is "twenty-two billion, two hundred forty-four million, six hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 106 137 212 274 424 548 848 1096 1696 2192 4384 7261 14522 29044 58088 95737 116176 191474 232352 382948 765896 1531792 3063584 5074061 10148122 13115969 20296244 26231938 40592488 52463876 81184976 104927752 162369952 209855504 419711008 695146357 1390292714 2780585428 5561170856 11122341712 22244683424