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22430421200 = 24521129374751
BaseRepresentation
bin10100111000111101…
…010001000011010000
32010220012210110100202
4110320331101003100
5331414141434300
614145425434332
71422563301665
oct247075210320
963805713322
1022430421200
11957042a490
12441ba9b9a8
1321660851a5
14112adc3a6c
158b4300ad5
hex538f510d0

22430421200 has 240 divisors, whose sum is σ = 62472072960. Its totient is φ = 7660800000.

The previous prime is 22430421193. The next prime is 22430421263. The reversal of 22430421200 is 212403422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4718825 + ... + 4723575.

It is an arithmetic number, because the mean of its divisors is an integer number (260300304).

Almost surely, 222430421200 is an apocalyptic number.

22430421200 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 22430421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31236036480).

22430421200 is an abundant number, since it is smaller than the sum of its proper divisors (40041651760).

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

22430421200 is a wasteful number, since it uses less digits than its factorization.

22430421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22430421200 its reverse (212403422), we get a palindrome (22642824622).

The spelling of 22430421200 in words is "twenty-two billion, four hundred thirty million, four hundred twenty-one thousand, two hundred".