Search a number
-
+
22996584960 = 2935231011289
BaseRepresentation
bin10101011010101101…
…000000101000000000
32012100200010120000220
4111122231000220000
5334044111204320
614321532343040
71442606514126
oct253255005000
965320116026
1022996584960
119830a77718
124559614a80
13222646492b
14118227d916
158e8d87e40
hex55ab40a00

22996584960 has 320 divisors, whose sum is σ = 77533251840. Its totient is φ = 5803212800.

The previous prime is 22996584959. The next prime is 22996584967. The reversal of 22996584960 is 6948569922.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 22996584894 and 22996584903.

It is not an unprimeable number, because it can be changed into a prime (22996584967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17839996 + ... + 17841284.

It is an arithmetic number, because the mean of its divisors is an integer number (242291412).

Almost surely, 222996584960 is an apocalyptic number.

22996584960 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 22996584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38766625920).

22996584960 is an abundant number, since it is smaller than the sum of its proper divisors (54536666880).

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

22996584960 is a wasteful number, since it uses less digits than its factorization.

22996584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 22996584960 in words is "twenty-two billion, nine hundred ninety-six million, five hundred eighty-four thousand, nine hundred sixty".