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22276453680 = 243351331157163
BaseRepresentation
bin10100101111110001…
…111011010100110000
32010111111002002122000
4110233301323110300
5331110233004210
614122245414000
71416013506045
oct245761732460
963444062560
1022276453680
1194a15283a8
12439840a300
1321401c7450
1411147851cc
158a5a3aac0
hex52fc7b530

22276453680 has 640 divisors, whose sum is σ = 86367805440. Its totient is φ = 5240401920.

The previous prime is 22276453679. The next prime is 22276453681. The reversal of 22276453680 is 8635467222.

22276453680 is a `hidden beast` number, since 2 + 227 + 64 + 5 + 368 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22276453679) and next prime (22276453681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22276453681) 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 127 ways as a sum of consecutive naturals, for example, 136665279 + ... + 136665441.

It is an arithmetic number, because the mean of its divisors is an integer number (134949696).

Almost surely, 222276453680 is an apocalyptic number.

22276453680 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 22276453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43183902720).

22276453680 is an abundant number, since it is smaller than the sum of its proper divisors (64091351760).

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

22276453680 is a wasteful number, since it uses less digits than its factorization.

22276453680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 22276453680 in words is "twenty-two billion, two hundred seventy-six million, four hundred fifty-three thousand, six hundred eighty".