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2320256400 = 2435271125111
BaseRepresentation
bin1000101001001100…
…0100110110010000
312222200222020102020
42022103010312100
514222441201100
61022123051440
7111332565630
oct21223046620
95880866366
102320256400
11a907a6a80
12549070b80
132ac9181a7
141802226c0
15d8a735a0
hex8a4c4d90

2320256400 has 240 divisors, whose sum is σ = 9266930688. Its totient is φ = 482112000.

The previous prime is 2320256381. The next prime is 2320256401. The reversal of 2320256400 is 46520232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2320256401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79845 + ... + 104955.

Almost surely, 22320256400 is an apocalyptic number.

2320256400 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 2320256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633465344).

2320256400 is an abundant number, since it is smaller than the sum of its proper divisors (6946674288).

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

2320256400 is a wasteful number, since it uses less digits than its factorization.

2320256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25150 (or 25139 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2320256400 is about 48169.0398492642. The cubic root of 2320256400 is about 1323.8699561641.

Adding to 2320256400 its reverse (46520232), we get a palindrome (2366776632).

The spelling of 2320256400 in words is "two billion, three hundred twenty million, two hundred fifty-six thousand, four hundred".