Search a number
-
+
2320123200 = 26352895431
BaseRepresentation
bin1000101001001010…
…0100010101000000
312222200201110200220
42022102210111000
514222422420300
61022120143040
7111331502403
oct21222442500
95880643626
102320123200
11a9071599a
12549007a80
132ac89c685
141801c9d3a
15d8a48da0
hex8a4a4540

2320123200 has 168 divisors, whose sum is σ = 7698882240. Its totient is φ = 611635200.

The previous prime is 2320123159. The next prime is 2320123207. The reversal of 2320123200 is 23210232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2320123200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320123207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424485 + ... + 429915.

It is an arithmetic number, because the mean of its divisors is an integer number (45826680).

Almost surely, 22320123200 is an apocalyptic number.

2320123200 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 2320123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849441120).

2320123200 is an abundant number, since it is smaller than the sum of its proper divisors (5378759040).

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

2320123200 is a wasteful number, since it uses less digits than its factorization.

2320123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2320123200 is about 48167.6571985809. The cubic root of 2320123200 is about 1323.8446223472.

Adding to 2320123200 its reverse (23210232), we get a palindrome (2343333432).

The spelling of 2320123200 in words is "two billion, three hundred twenty million, one hundred twenty-three thousand, two hundred".