Search a number
-
+
22391822040 = 2335742331109
BaseRepresentation
bin10100110110101010…
…000001011011011000
32010210112011102021020
4110312222001123120
5331324301301130
614141530242440
71421614230000
oct246652013330
963715142236
1022391822040
119550666355
12440ab86420
13215b08c153
141125c17000
158b0c28e10
hex536a816d8

22391822040 has 640 divisors, whose sum is σ = 85186252800. Its totient is φ = 4694215680.

The previous prime is 22391822039. The next prime is 22391822059. The reversal of 22391822040 is 4022819322.

It is a junction number, because it is equal to n+sod(n) for n = 22391821992 and 22391822010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 205429506 + ... + 205429614.

It is an arithmetic number, because the mean of its divisors is an integer number (133103520).

Almost surely, 222391822040 is an apocalyptic number.

22391822040 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 22391822040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42593126400).

22391822040 is an abundant number, since it is smaller than the sum of its proper divisors (62794430760).

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

22391822040 is a wasteful number, since it uses less digits than its factorization.

22391822040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 22391822040 in words is "twenty-two billion, three hundred ninety-one million, eight hundred twenty-two thousand, forty".