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2312428200 = 2335243471907
BaseRepresentation
bin1000100111010100…
…1101101010101000
312222011020112010220
42021311031222220
514213440200300
61021243210040
7111206213115
oct21165155250
95864215126
102312428200
11a8733a595
12546516920
132ab107014
1417d18590c
15d8028da0
hex89d4daa8

2312428200 has 192 divisors, whose sum is σ = 7495234560. Its totient is φ = 589182720.

The previous prime is 2312428189. The next prime is 2312428207. The reversal of 2312428200 is 28242132.

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 (2312428207) 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, 1211647 + ... + 1213553.

It is an arithmetic number, because the mean of its divisors is an integer number (39037680).

Almost surely, 22312428200 is an apocalyptic number.

2312428200 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 2312428200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747617280).

2312428200 is an abundant number, since it is smaller than the sum of its proper divisors (5182806360).

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

2312428200 is a wasteful number, since it uses less digits than its factorization.

2312428200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2312428200 is about 48087.7136075318. The cubic root of 2312428200 is about 1322.3794318588.

The spelling of 2312428200 in words is "two billion, three hundred twelve million, four hundred twenty-eight thousand, two hundred".