Search a number
-
+
2303323200 = 26325217972
BaseRepresentation
bin1000100101001001…
…1110110001000000
312221112002221102200
42021102132301000
514204122320300
61020320113200
7111035631663
oct21122366100
95845087380
102303323200
11a821908a2
12543465800
132a9269949
1417bc956da
15d732b200
hex8949ec40

2303323200 has 378 divisors, whose sum is σ = 8758399806. Its totient is φ = 572129280.

The previous prime is 2303323199. The next prime is 2303323249. The reversal of 2303323200 is 23233032.

It can be written as a sum of positive squares in 9 ways, for example, as 414203904 + 1889119296 = 20352^2 + 43464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 23745552 + ... + 23745648.

Almost surely, 22303323200 is an apocalyptic number.

2303323200 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 2303323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379199903).

2303323200 is an abundant number, since it is smaller than the sum of its proper divisors (6455076606).

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

2303323200 is a wasteful number, since it uses less digits than its factorization.

2303323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 2303323200 is about 47992.9494821896. The cubic root of 2303323200 is about 1320.6415614087.

Adding to 2303323200 its reverse (23233032), we get a palindrome (2326556232).

The spelling of 2303323200 in words is "two billion, three hundred three million, three hundred twenty-three thousand, two hundred".