Search a number
-
+
22554999360 = 2632529326729
BaseRepresentation
bin10101000000011000…
…011111101001000000
32011012220012200110200
4111000120133221000
5332143034434420
614210035525200
71425635221425
oct250030375100
964186180420
1022554999360
119624788943
124455759800
132185b22b8a
14113d771d4c
158c020cb90
hex54061fa40

22554999360 has 168 divisors, whose sum is σ = 77847489720. Its totient is φ = 5993914368.

The previous prime is 22554999331. The next prime is 22554999391. The reversal of 22554999360 is 6399945522.

It is a happy number.

22554999360 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 499 + 93 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8617780224 + 13937219136 = 92832^2 + 118056^2 .

It is a super-2 number, since 2×225549993602 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22554999297 and 22554999306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830476 + ... + 857204.

It is an arithmetic number, because the mean of its divisors is an integer number (463377915).

Almost surely, 222554999360 is an apocalyptic number.

22554999360 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 22554999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38923744860).

22554999360 is an abundant number, since it is smaller than the sum of its proper divisors (55292490360).

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

22554999360 is a wasteful number, since it uses less digits than its factorization.

22554999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27045 (or 27032 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 22554999360 in words is "twenty-two billion, five hundred fifty-four million, nine hundred ninety-nine thousand, three hundred sixty".