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2316230400 = 28352112997
BaseRepresentation
bin1000101000001110…
…1101111100000000
312222102101200210010
42022003231330000
514220423333100
61021500504520
7111253430211
oct21203557400
95872350703
102316230400
11a894a7200
1254784b140
132abb38843
1417d895408
15d852a750
hex8a0edf00

2316230400 has 324 divisors, whose sum is σ = 8410557176. Its totient is φ = 560947200.

The previous prime is 2316230369. The next prime is 2316230407. The reversal of 2316230400 is 40326132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2316230407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2322702 + ... + 2323698.

Almost surely, 22316230400 is an apocalyptic number.

2316230400 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 2316230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205278588).

2316230400 is an abundant number, since it is smaller than the sum of its proper divisors (6094326776).

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

2316230400 is a wasteful number, since it uses less digits than its factorization.

2316230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2316230400 is about 48127.2313768411. The cubic root of 2316230400 is about 1323.1038071946.

Adding to 2316230400 its reverse (40326132), we get a palindrome (2356556532).

The spelling of 2316230400 in words is "two billion, three hundred sixteen million, two hundred thirty thousand, four hundred".