Search a number
-
+
22960906560 = 2632519940063
BaseRepresentation
bin10101011000100100…
…111010000101000000
32012021011222220110200
4111120210322011000
5334010443002220
614314215525200
71441664325354
oct253044720500
965234886420
1022960906560
119812918a39
124549689800
13221bc52157
14117b633464
158e5b8b890
hex55893a140

22960906560 has 168 divisors, whose sum is σ = 79374796800. Its totient is φ = 6091987968.

The previous prime is 22960906547. The next prime is 22960906583. The reversal of 22960906560 is 6560906922.

22960906560 is a `hidden beast` number, since 2 + 29 + 60 + 9 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 553089 + ... + 593151.

Almost surely, 222960906560 is an apocalyptic number.

22960906560 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 22960906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39687398400).

22960906560 is an abundant number, since it is smaller than the sum of its proper divisors (56413890240).

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

22960906560 is a wasteful number, since it uses less digits than its factorization.

22960906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40285 (or 40272 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 22960906560 in words is "twenty-two billion, nine hundred sixty million, nine hundred six thousand, five hundred sixty".