Search a number
-
+
2325697920 = 273457131729
BaseRepresentation
bin1000101010011111…
…0101010110000000
320000002012200210000
42022213311112000
514230334313140
61022435440000
7111430051260
oct21247652600
96002180700
102325697920
11a938832a7
1254aa56000
132b0aa1c20
14180c3b7a0
15d929aa30
hex8a9f5580

2325697920 has 1280 divisors, whose sum is σ = 11196662400. Its totient is φ = 445906944.

The previous prime is 2325697909. The next prime is 2325697921. The reversal of 2325697920 is 297965232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325697921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80196466 + ... + 80196494.

It is a vampire number, since it can be written as 2923279560 (with its own digits).

Almost surely, 22325697920 is an apocalyptic number.

2325697920 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 2325697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598331200).

2325697920 is an abundant number, since it is smaller than the sum of its proper divisors (8870964480).

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

2325697920 is a wasteful number, since it uses less digits than its factorization.

2325697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2325697920 is about 48225.4903552053. The cubic root of 2325697920 is about 1324.9040718495.

The spelling of 2325697920 in words is "two billion, three hundred twenty-five million, six hundred ninety-seven thousand, nine hundred twenty".