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22680115200 = 211325283593
BaseRepresentation
bin10101000111110101…
…110001100000000000
32011112121122020010200
4111013311301200000
5332422102141300
614230305325200
71432014540561
oct250765614000
964477566120
1022680115200
119689374266
12448b636800
1321a5a1b512
141152220168
158cb1c4200
hex547d71800

22680115200 has 432 divisors, whose sum is σ = 82342620360. Its totient is φ = 5965086720.

The previous prime is 22680115169. The next prime is 22680115201. The reversal of 22680115200 is 251108622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22680115201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38246104 + ... + 38246696.

Almost surely, 222680115200 is an apocalyptic number.

22680115200 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 22680115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41171310180).

22680115200 is an abundant number, since it is smaller than the sum of its proper divisors (59662505160).

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

22680115200 is a wasteful number, since it uses less digits than its factorization.

22680115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 22680115200 in words is "twenty-two billion, six hundred eighty million, one hundred fifteen thousand, two hundred".