Search a number
-
+
9425221344 = 2533721137547
BaseRepresentation
bin10001100011100100…
…10111011011100000
3220022212012212001000
420301302113123200
5123300324040334
64155131112000
7452365026300
oct106162273340
926285185030
109425221344
113aa7323330
1219b05a2600
13b728b2766
14655aa3600
153a26c3299
hex231c976e0

9425221344 has 576 divisors, whose sum is σ = 35893912320. Its totient is φ = 2377589760.

The previous prime is 9425221283. The next prime is 9425221361. The reversal of 9425221344 is 4431225249.

It is a happy number.

9425221344 is a `hidden beast` number, since 9 + 425 + 221 + 3 + 4 + 4 = 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 = 9425221299 and 9425221308.

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, 17230479 + ... + 17231025.

It is an arithmetic number, because the mean of its divisors is an integer number (62315820).

Almost surely, 29425221344 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 9425221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17946956160).

9425221344 is an abundant number, since it is smaller than the sum of its proper divisors (26468690976).

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

9425221344 is a wasteful number, since it uses less digits than its factorization.

9425221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 607 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 9425221344 is about 97083.5791676430. The cubic root of 9425221344 is about 2112.3401440794.

The spelling of 9425221344 in words is "nine billion, four hundred twenty-five million, two hundred twenty-one thousand, three hundred forty-four".