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22232115360 = 2534572132693
BaseRepresentation
bin10100101101001000…
…110010100010100000
32010101101122110220000
4110231020302202200
5331012410142420
614114023220000
71414634601600
oct245510624240
963341573800
1022232115360
1194794a4364
1243855a7600
132133c72060
14110c922c00
158a1bcd690
hex52d2328a0

22232115360 has 720 divisors, whose sum is σ = 98328101256. Its totient is φ = 4688990208.

The previous prime is 22232115331. The next prime is 22232115383. The reversal of 22232115360 is 6351123222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12916777104 + 9315338256 = 113652^2 + 96516^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8254174 + ... + 8256866.

Almost surely, 222232115360 is an apocalyptic number.

22232115360 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 22232115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49164050628).

22232115360 is an abundant number, since it is smaller than the sum of its proper divisors (76095985896).

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

22232115360 is a wasteful number, since it uses less digits than its factorization.

22232115360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 22232115360 its reverse (6351123222), we get a palindrome (28583238582).

The spelling of 22232115360 in words is "twenty-two billion, two hundred thirty-two million, one hundred fifteen thousand, three hundred sixty".