Search a number
-
+
22429368192 = 2737311113137
BaseRepresentation
bin10100111000111001…
…001111111110000000
32010220010210221220110
4110320321033332000
5331413404240232
614145351111320
71422551325000
oct247071177600
963803727813
1022429368192
11956a880330
12441b672540
132165aa6aca
14112abcc000
158b4193acc
hex538e4ff80

22429368192 has 512 divisors, whose sum is σ = 77023872000. Its totient is φ = 5732106240.

The previous prime is 22429368191. The next prime is 22429368193. The reversal of 22429368192 is 29186392422.

It is an interprime number because it is at equal distance from previous prime (22429368191) and next prime (22429368193).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22429368191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163717948 + ... + 163718084.

It is an arithmetic number, because the mean of its divisors is an integer number (150437250).

Almost surely, 222429368192 is an apocalyptic number.

22429368192 is a gapful number since it is divisible by the number (22) 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 22429368192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38511936000).

22429368192 is an abundant number, since it is smaller than the sum of its proper divisors (54594503808).

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

22429368192 is a wasteful number, since it uses less digits than its factorization.

22429368192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 273 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 22429368192 in words is "twenty-two billion, four hundred twenty-nine million, three hundred sixty-eight thousand, one hundred ninety-two".