Search a number
-
+
2325536640 = 273257137421
BaseRepresentation
bin1000101010011100…
…1101111110000000
320000001220111112200
42022213031332000
514230314133030
61022432153200
7111425510130
oct21247157600
96001814480
102325536640
11a93783109
1254a998800
132b0a466ab
14180bd8ac0
15d9267d60
hex8a9cdf80

2325536640 has 384 divisors, whose sum is σ = 9266512320. Its totient is φ = 526417920.

The previous prime is 2325536561. The next prime is 2325536657. The reversal of 2325536640 is 466355232.

2325536640 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 5 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2325536595 and 2325536604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5523630 + ... + 5524050.

Almost surely, 22325536640 is an apocalyptic number.

2325536640 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 2325536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633256160).

2325536640 is an abundant number, since it is smaller than the sum of its proper divisors (6940975680).

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

2325536640 is a wasteful number, since it uses less digits than its factorization.

2325536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2325536640 is about 48223.8181814754. The cubic root of 2325536640 is about 1324.8734451336.

It can be divided in two parts, 23255 and 36640, that added together give a palindrome (59895).

The spelling of 2325536640 in words is "two billion, three hundred twenty-five million, five hundred thirty-six thousand, six hundred forty".