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22402240000 = 2954773137
BaseRepresentation
bin10100110111010001…
…110000111000000000
32010211020202201000121
4110313101300320000
5331334433140000
614142541430024
71422101620030
oct246721607000
963736681017
1022402240000
119556531538
12441256b314
13216029901a
1411273698c0
158b1ad5b1a
hex537470e00

22402240000 has 400 divisors, whose sum is σ = 65272081248. Its totient is φ = 7520256000.

The previous prime is 22402239983. The next prime is 22402240013. The reversal of 22402240000 is 4220422.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163519932 + ... + 163520068.

Almost surely, 222402240000 is an apocalyptic number.

22402240000 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 22402240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32636040624).

22402240000 is an abundant number, since it is smaller than the sum of its proper divisors (42869841248).

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

22402240000 is an frugal number, since it uses more digits than its factorization.

22402240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22402240000 its reverse (4220422), we get a palindrome (22406460422).

The spelling of 22402240000 in words is "twenty-two billion, four hundred two million, two hundred forty thousand".