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19115422200 = 233352717151197
BaseRepresentation
bin10001110011010111…
…100011000111111000
31211100012001001122000
4101303113203013320
5303122022002300
612440445501000
71244461256610
oct216327430770
954305031560
1019115422200
11811a180696
123855871760
131a58350b14
14cd4a21a40
1576d288c00
hex4735e31f8

19115422200 has 768 divisors, whose sum is σ = 80609126400. Its totient is φ = 4064256000.

The previous prime is 19115422189. The next prime is 19115422201. The reversal of 19115422200 is 222451191.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19115422201) 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 191 ways as a sum of consecutive naturals, for example, 97032502 + ... + 97032698.

It is an arithmetic number, because the mean of its divisors is an integer number (104959800).

Almost surely, 219115422200 is an apocalyptic number.

19115422200 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 19115422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40304563200).

19115422200 is an abundant number, since it is smaller than the sum of its proper divisors (61493704200).

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

19115422200 is a wasteful number, since it uses less digits than its factorization.

19115422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 19115422200 its reverse (222451191), we get a palindrome (19337873391).

The spelling of 19115422200 in words is "nineteen billion, one hundred fifteen million, four hundred twenty-two thousand, two hundred".