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2313264096 = 25341113792
BaseRepresentation
bin1000100111100001…
…1001101111100000
312222012210222210000
42021320121233200
514214143422341
61021313140000
7111216264123
oct21170315740
95865728700
102313264096
11a87860610
1254685a600
132ab33a630
1417d3223ba
15d81418b6
hex89e19be0

2313264096 has 360 divisors, whose sum is σ = 8095077144. Its totient is φ = 638876160.

The previous prime is 2313264091. The next prime is 2313264097. The reversal of 2313264096 is 6904623132.

2313264096 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 2 + 640 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2313264096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313264091) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29281785 + ... + 29281863.

Almost surely, 22313264096 is an apocalyptic number.

2313264096 is a gapful number since it is divisible by the number (26) 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 2313264096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047538572).

2313264096 is an abundant number, since it is smaller than the sum of its proper divisors (5781813048).

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

2313264096 is a wasteful number, since it uses less digits than its factorization.

2313264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2313264096 is about 48096.4041899184. The cubic root of 2313264096 is about 1322.5387504652.

The spelling of 2313264096 in words is "two billion, three hundred thirteen million, two hundred sixty-four thousand, ninety-six".