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22207199328 = 2533414361239
BaseRepresentation
bin10100101011101001…
…101111100001100000
32010022122202121112000
4110223221233201200
5330440020334303
614111333204000
71414213036236
oct245351574140
963278677460
1022207199328
1194664265a6
124379190600
13212ba5a142
1411094b8956
1589e90ada3
hex52ba6f860

22207199328 has 384 divisors, whose sum is σ = 69295564800. Its totient is φ = 6909235200.

The previous prime is 22207199323. The next prime is 22207199347. The reversal of 22207199328 is 82399170222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22207199323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92917033 + ... + 92917271.

It is an arithmetic number, because the mean of its divisors is an integer number (180457200).

Almost surely, 222207199328 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 22207199328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34647782400).

22207199328 is an abundant number, since it is smaller than the sum of its proper divisors (47088365472).

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

22207199328 is a wasteful number, since it uses less digits than its factorization.

22207199328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 22207199328 in words is "twenty-two billion, two hundred seven million, one hundred ninety-nine thousand, three hundred twenty-eight".