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22134382035444 = 22327231247927259
BaseRepresentation
bin1010000100001100011111…
…11110101000000111110100
32220101000201010211001210200
411002012033332220013310
510400122203300113234
6115024221132320500
74443104423001600
oct502061776500764
986330633731720
1022134382035444
117064158687048
12259595b913130
13c47356532ac3
1456744a176500
15285b75762d99
hex14218ffa81f4

22134382035444 has 324 divisors, whose sum is σ = 67395761596800. Its totient is φ = 6107104745280.

The previous prime is 22134382035433. The next prime is 22134382035449. The reversal of 22134382035444 is 44453028343122.

It is a happy number.

22134382035444 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 438 + 203 + 5 + 4 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22134382035444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134382035449) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 811989087 + ... + 812016345.

Almost surely, 222134382035444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22134382035444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33697880798400).

22134382035444 is an abundant number, since it is smaller than the sum of its proper divisors (45261379561356).

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

22134382035444 is a wasteful number, since it uses less digits than its factorization.

22134382035444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27824 (or 27781 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 22134382035444 in words is "twenty-two trillion, one hundred thirty-four billion, three hundred eighty-two million, thirty-five thousand, four hundred forty-four".