Search a number
-
+
22447230976 = 21223412
BaseRepresentation
bin10100111001111101…
…011001000000000000
32010221101102111001001
4110321331121000000
5331432442342401
614151230021344
71423156213042
oct247175310000
963841374031
1022447230976
119579970965
124425647854
1321696bc4c1
14112d31ba92
158b5a21601
hex539f59000

22447230976 has 39 divisors (see below), whose sum is σ = 44908164993. Its totient is φ = 11218821120.

The previous prime is 22447230931. The next prime is 22447230977. The reversal of 22447230976 is 67903274422.

The square root of 22447230976 is 149824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14646808576 + 7800422400 = 121024^2 + 88320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22447230977) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9587566 + ... + 9589906.

Almost surely, 222447230976 is an apocalyptic number.

22447230976 is the 149824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22447230976

22447230976 is an abundant number, since it is smaller than the sum of its proper divisors (22460934017).

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

22447230976 is an frugal number, since it uses more digits than its factorization.

22447230976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 22447230976 in words is "twenty-two billion, four hundred forty-seven million, two hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2341 4096 4682 9364 18728 37456 74912 149824 299648 599296 1198592 2397184 4794368 5480281 9588736 10960562 21921124 43842248 87684496 175368992 350737984 701475968 1402951936 2805903872 5611807744 11223615488 22447230976