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2326132900 = 225272132532
BaseRepresentation
bin1000101010100101…
…1111100010100100
320000010000210110101
42022221133202210
514230442223100
61022453033444
7111433542400
oct21251374244
96003023411
102326132900
11a94050093
1254b025884
132b0bc4c00
14180d12100
15d933486a
hex8aa5f8a4

2326132900 has 243 divisors, whose sum is σ = 6480477801. Its totient is φ = 722292480.

The previous prime is 2326132877. The next prime is 2326132901. The reversal of 2326132900 is 92316232.

The square root of 2326132900 is 48230.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1826878564 + 499254336 = 42742^2 + 22344^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2326132901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43889274 + ... + 43889326.

Almost surely, 22326132900 is an apocalyptic number.

2326132900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2326132900 is the 48230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2326132900

2326132900 is an abundant number, since it is smaller than the sum of its proper divisors (4154344901).

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

2326132900 is a wasteful number, since it uses less digits than its factorization.

2326132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The cubic root of 2326132900 is about 1324.9866665325.

The spelling of 2326132900 in words is "two billion, three hundred twenty-six million, one hundred thirty-two thousand, nine hundred".