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2316496900 = 225248132
BaseRepresentation
bin1000101000010010…
…1111000000000100
312222102220020100111
42022010233000010
514221010400100
61021510322404
7111255620164
oct21204570004
95872806314
102316496900
11a89669453
12547959404
132abbccc33
1417d9245a4
15d857e6ba
hex8a12f004

2316496900 has 27 divisors (see below), whose sum is σ = 5027842911. Its totient is φ = 926406240.

The previous prime is 2316496859. The next prime is 2316496901. The reversal of 2316496900 is 96946132.

The square root of 2316496900 is 48130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 32421636 + 2284075264 = 5694^2 + 47792^2 .

It is a super-2 number, since 2×23164969002 = 10732315775419220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2316496901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 478894 + ... + 483706.

Almost surely, 22316496900 is an apocalyptic number.

2316496900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2316496900 is the 48130-th square number.

It is an amenable number.

2316496900 is an abundant number, since it is smaller than the sum of its proper divisors (2711346011).

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

2316496900 is an frugal number, since it uses more digits than its factorization.

2316496900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9640 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The cubic root of 2316496900 is about 1323.1545496484.

The spelling of 2316496900 in words is "two billion, three hundred sixteen million, four hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4813 9626 19252 24065 48130 96260 120325 240650 481300 23164969 46329938 92659876 115824845 231649690 463299380 579124225 1158248450 2316496900