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22241305360 = 2451716353901
BaseRepresentation
bin10100101101101011…
…110110001100010000
32010102000221101012101
4110231223312030100
5331022233232420
614114552210144
71415105655601
oct245553661420
963360841171
1022241305360
1194837009aa
124388699954
132135b3c021
14110dc35da8
158a28e660a
hex52daf6310

22241305360 has 40 divisors (see below), whose sum is σ = 54752863896. Its totient is φ = 8373196800.

The previous prime is 22241305321. The next prime is 22241305391. The reversal of 22241305360 is 6350314222.

It can be written as a sum of positive squares in 4 ways, for example, as 148644864 + 22092660496 = 12192^2 + 148636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8175591 + ... + 8178310.

Almost surely, 222241305360 is an apocalyptic number.

22241305360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22241305360 is an abundant number, since it is smaller than the sum of its proper divisors (32511558536).

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

22241305360 is a wasteful number, since it uses less digits than its factorization.

22241305360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16353931 (or 16353925 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 22241305360 its reverse (6350314222), we get a palindrome (28591619582).

The spelling of 22241305360 in words is "twenty-two billion, two hundred forty-one million, three hundred five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 16353901 32707802 65415604 81769505 130831208 163539010 261662416 278016317 327078020 556032634 654156040 1112065268 1308312080 1390081585 2224130536 2780163170 4448261072 5560326340 11120652680 22241305360