Search a number
-
+
22986485760 = 212357192997
BaseRepresentation
bin10101011010000110…
…011111000000000000
32012022222010110112110
4111122012133000000
5334034020021020
614320532055320
71442424622320
oct253206370000
965288113473
1022986485760
1198262a9a77
124556164540
132224339b84
141180bb1280
158e80408e0
hex55a19f000

22986485760 has 832 divisors, whose sum is σ = 92473113600. Its totient is φ = 4756340736.

The previous prime is 22986485749. The next prime is 22986485761. The reversal of 22986485760 is 6758468922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 22986485760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22986485761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 236974032 + ... + 236974128.

Almost surely, 222986485760 is an apocalyptic number.

22986485760 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 22986485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46236556800).

22986485760 is an abundant number, since it is smaller than the sum of its proper divisors (69486627840).

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

22986485760 is a wasteful number, since it uses less digits than its factorization.

22986485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 22986485760 in words is "twenty-two billion, nine hundred eighty-six million, four hundred eighty-five thousand, seven hundred sixty".