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22273816320 = 28335731879
BaseRepresentation
bin10100101111100111…
…110111011100000000
32010111022010002212000
4110233213313130000
5331104044110240
614122113104000
71415652213000
oct245747673400
963438102760
1022273816320
11949aa96968
124397558000
13213c7b2b92
14111429a000
158a56b9430
hex52f9f7700

22273816320 has 576 divisors, whose sum is σ = 92225280000. Its totient is φ = 5088448512.

The previous prime is 22273816319. The next prime is 22273816321. The reversal of 22273816320 is 2361837222.

It is an interprime number because it is at equal distance from previous prime (22273816319) and next prime (22273816321).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×222738163202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22273816321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11853141 + ... + 11855019.

Almost surely, 222273816320 is an apocalyptic number.

22273816320 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 22273816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46112640000).

22273816320 is an abundant number, since it is smaller than the sum of its proper divisors (69951463680).

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

22273816320 is an equidigital number, since it uses as much as digits as its factorization.

22273816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22273816320 in words is "twenty-two billion, two hundred seventy-three million, eight hundred sixteen thousand, three hundred twenty".