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22025434032 = 2433731474999
BaseRepresentation
bin10100100000110100…
…010111001110110000
32002211222201222102000
4110200310113032300
5330102002342112
614041321254000
71406545046250
oct244064271660
962758658360
1022025434032
119382868648
124328334300
1321001b8904
1410cd2c1960
1588d9a47dc
hex520d173b0

22025434032 has 320 divisors, whose sum is σ = 76185600000. Its totient is φ = 5959215360.

The previous prime is 22025434009. The next prime is 22025434097. The reversal of 22025434032 is 23043452022.

It is a happy number.

22025434032 is a `hidden beast` number, since 2 + 2 + 0 + 254 + 3 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22025433987 and 22025434005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4403469 + ... + 4408467.

It is an arithmetic number, because the mean of its divisors is an integer number (238080000).

Almost surely, 222025434032 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 22025434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38092800000).

22025434032 is an abundant number, since it is smaller than the sum of its proper divisors (54160165968).

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

22025434032 is a wasteful number, since it uses less digits than its factorization.

22025434032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 22025434032 its reverse (23043452022), we get a palindrome (45068886054).

The spelling of 22025434032 in words is "twenty-two billion, twenty-five million, four hundred thirty-four thousand, thirty-two".