Search a number
-
+
22359600900 = 2232527131914369
BaseRepresentation
bin10100110100101111…
…000110111100000100
32010201021112102011200
4110310233012330010
5331243024212100
614134415502500
71421043320550
oct246457067404
963637472150
1022359600900
11953445910a
124400227a30
1321544ba1a0
14112182a860
158aceb1e00
hex534bc6f04

22359600900 has 432 divisors, whose sum is σ = 90804604800. Its totient is φ = 4469022720.

The previous prime is 22359600899. The next prime is 22359600971. The reversal of 22359600900 is 900695322.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 1548916 + ... + 1563284.

Almost surely, 222359600900 is an apocalyptic number.

22359600900 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 22359600900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45402302400).

22359600900 is an abundant number, since it is smaller than the sum of its proper divisors (68445003900).

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

22359600900 is a wasteful number, since it uses less digits than its factorization.

22359600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14428 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 22359600900 in words is "twenty-two billion, three hundred fifty-nine million, six hundred thousand, nine hundred".