Search a number
-
+
22585047264 = 2534131789443
BaseRepresentation
bin10101000010001011…
…000111100011100000
32011021222202021110000
4111002023013203200
5332223233003024
614213031540000
71426451506563
oct250213074340
964258667400
1022585047264
11963a74131a
12446382a600
13218c1138c0
1411437544da
158c2b95cc9
hex5422c78e0

22585047264 has 480 divisors, whose sum is σ = 76763000160. Its totient is φ = 6452379648.

The previous prime is 22585047259. The next prime is 22585047269. The reversal of 22585047264 is 46274058522.

22585047264 is a `hidden beast` number, since 2 + 2 + 585 + 0 + 4 + 7 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (22585047259) and next prime (22585047269).

It is a super-2 number, since 2×225850472642 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22585047269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50981827 + ... + 50982269.

It is an arithmetic number, because the mean of its divisors is an integer number (159922917).

Almost surely, 222585047264 is an apocalyptic number.

22585047264 is a gapful number since it is divisible by the number (24) 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 22585047264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38381500080).

22585047264 is an abundant number, since it is smaller than the sum of its proper divisors (54177952896).

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

22585047264 is a wasteful number, since it uses less digits than its factorization.

22585047264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 22585047264 in words is "twenty-two billion, five hundred eighty-five million, forty-seven thousand, two hundred sixty-four".