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2325082320 = 243551183131
BaseRepresentation
bin1000101010010101…
…1111000011010000
320000001001102100000
42022211133003100
514230210113240
61022414330000
7111421605441
oct21245370320
96001042300
102325082320
11a934a2840
1254a7b9900
132b0917972
14180b1b2c8
15d91c8430
hex8a95f0d0

2325082320 has 480 divisors, whose sum is σ = 9008423424. Its totient is φ = 552614400.

The previous prime is 2325082301. The next prime is 2325082327. The reversal of 2325082320 is 232805232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325082327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17748655 + ... + 17748785.

Almost surely, 22325082320 is an apocalyptic number.

2325082320 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 2325082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504211712).

2325082320 is an abundant number, since it is smaller than the sum of its proper divisors (6683341104).

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

2325082320 is a wasteful number, since it uses less digits than its factorization.

2325082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2325082320 is about 48219.1074160441. The cubic root of 2325082320 is about 1324.7871631554.

Adding to 2325082320 its reverse (232805232), we get a palindrome (2557887552).

It can be divided in two parts, 23250 and 82320, that added together give a triangular number (105570 = T459).

The spelling of 2325082320 in words is "two billion, three hundred twenty-five million, eighty-two thousand, three hundred twenty".