Search a number
-
+
22523484672 = 29341341777
BaseRepresentation
bin10100111110100000…
…010001101000000000
32011010200220120110000
4110332200101220000
5332112003002142
614202552240000
71425103314033
oct247640215000
964120816400
1022523484672
119608a13447
1244470a0000
13217c43a630
1411394cb01a
158bc58514c
hex53e811a00

22523484672 has 200 divisors, whose sum is σ = 72399686436. Its totient is φ = 6930137088.

The previous prime is 22523484653. The next prime is 22523484707. The reversal of 22523484672 is 27648432522.

22523484672 is a `hidden beast` number, since 22 + 523 + 48 + 4 + 67 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21110927616 + 1412557056 = 145296^2 + 37584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 518248 + ... + 560024.

Almost surely, 222523484672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22523484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36199843218).

22523484672 is an abundant number, since it is smaller than the sum of its proper divisors (49876201764).

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

22523484672 is an equidigital number, since it uses as much as digits as its factorization.

22523484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41820 (or 41795 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 22523484672 in words is "twenty-two billion, five hundred twenty-three million, four hundred eighty-four thousand, six hundred seventy-two".