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22134203520 = 27351113194243
BaseRepresentation
bin10100100111010011…
…010010010010000000
32010010120102001002120
4110213103102102000
5330312324003040
614100204444240
71412335424412
oct244723222200
963116361076
1022134203520
1194291a9790
124358849680
1321198acb60
1410dd9169b2
158982dc7d0
hex5274d2480

22134203520 has 512 divisors, whose sum is σ = 87270220800. Its totient is φ = 4691312640.

The previous prime is 22134203519. The next prime is 22134203561. The reversal of 22134203520 is 2530243122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5214519 + ... + 5218761.

It is an arithmetic number, because the mean of its divisors is an integer number (170449650).

Almost surely, 222134203520 is an apocalyptic number.

22134203520 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 22134203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43635110400).

22134203520 is an abundant number, since it is smaller than the sum of its proper divisors (65136017280).

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

22134203520 is a wasteful number, since it uses less digits than its factorization.

22134203520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 22134203520 its reverse (2530243122), we get a palindrome (24664446642).

The spelling of 22134203520 in words is "twenty-two billion, one hundred thirty-four million, two hundred three thousand, five hundred twenty".