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19223930880 = 211345721143
BaseRepresentation
bin10001111001110101…
…011110100000000000
31211121202012212120000
4101321311132200000
5303332311242010
612455323320000
71250246500500
oct217165364000
954552185500
1019223930880
118175453890
123886080000
131a7498343b
14d051c9a00
15777a6e7c0
hex479d5e800

19223930880 has 1440 divisors, whose sum is σ = 89474505120. Its totient is φ = 3901685760.

The previous prime is 19223930851. The next prime is 19223930917. The reversal of 19223930880 is 8803932291.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447068139 + ... + 447068181.

It is an arithmetic number, because the mean of its divisors is an integer number (62135073).

Almost surely, 219223930880 is an apocalyptic number.

19223930880 is a gapful number since it is divisible by the number (10) 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 19223930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44737252560).

19223930880 is an abundant number, since it is smaller than the sum of its proper divisors (70250574240).

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

19223930880 is a wasteful number, since it uses less digits than its factorization.

19223930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19223930880 in words is "nineteen billion, two hundred twenty-three million, nine hundred thirty thousand, eight hundred eighty".