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22685322240 = 2103357217197
BaseRepresentation
bin10101001000001001…
…101000110000000000
32011112222102202212000
4111020021220300000
5332424420302430
614231013104000
71432110025500
oct251011506000
964488382760
1022685322240
1196913003a9
124491328000
1321a6b225c9
141152bb7a00
158cb8a1e60
hex548268c00

22685322240 has 1056 divisors, whose sum is σ = 99802549440. Its totient is φ = 4855431168.

The previous prime is 22685322227. The next prime is 22685322271. The reversal of 22685322240 is 4222358622.

22685322240 is a `hidden beast` number, since 2 + 2 + 68 + 532 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22685322195 and 22685322204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115153822 + ... + 115154018.

It is an arithmetic number, because the mean of its divisors is an integer number (94509990).

Almost surely, 222685322240 is an apocalyptic number.

22685322240 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 22685322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49901274720).

22685322240 is an abundant number, since it is smaller than the sum of its proper divisors (77117227200).

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

22685322240 is a wasteful number, since it uses less digits than its factorization.

22685322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 22685322240 in words is "twenty-two billion, six hundred eighty-five million, three hundred twenty-two thousand, two hundred forty".