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22966983648 = 25357379109
BaseRepresentation
bin10101011000111100…
…000101101111100000
32012021121102122200000
4111120330011233200
5334014021434043
614314554100000
71442100066000
oct253074055740
965247378600
1022966983648
119816299824
12454b71a600
13222029c26b
14117c376000
158e648c2d3
hex558f05be0

22966983648 has 576 divisors, whose sum is σ = 80720640000. Its totient is φ = 6419492352.

The previous prime is 22966983643. The next prime is 22966983691. The reversal of 22966983648 is 84638966922.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22966983643) 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 95 ways as a sum of consecutive naturals, for example, 210706218 + ... + 210706326.

It is an arithmetic number, because the mean of its divisors is an integer number (140140000).

Almost surely, 222966983648 is an apocalyptic number.

22966983648 is a gapful number since it is divisible by the number (28) 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 22966983648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40360320000).

22966983648 is an abundant number, since it is smaller than the sum of its proper divisors (57753656352).

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

22966983648 is an equidigital number, since it uses as much as digits as its factorization.

22966983648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 200 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 22966983648 in words is "twenty-two billion, nine hundred sixty-six million, nine hundred eighty-three thousand, six hundred forty-eight".