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22269714432 = 21337218493
BaseRepresentation
bin10100101111011000…
…001110000000000000
32010111000101201010020
4110233120032000000
5331102021330212
614121445133440
71415602310100
oct245730160000
963430351106
1022269714432
119498745079
1243960ba280
13213b9a7b24
14111390d200
158a5158d8c
hex52f60e000

22269714432 has 168 divisors, whose sum is σ = 69081082056. Its totient is φ = 6362431488.

The previous prime is 22269714431. The next prime is 22269714449. The reversal of 22269714432 is 23441796222.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×222697144323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22269714431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1194978 + ... + 1213470.

It is an arithmetic number, because the mean of its divisors is an integer number (411196917).

Almost surely, 222269714432 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 22269714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34540541028).

22269714432 is an abundant number, since it is smaller than the sum of its proper divisors (46811367624).

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

22269714432 is an equidigital number, since it uses as much as digits as its factorization.

22269714432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18536 (or 18505 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 22269714432 in words is "twenty-two billion, two hundred sixty-nine million, seven hundred fourteen thousand, four hundred thirty-two".