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2320830625 = 54412472
BaseRepresentation
bin1000101001010101…
…0001000010100001
312222202001102002211
42022111101002201
514223113040000
61022143242121
7111340510021
oct21225210241
95882042084
102320830625
11a91059443
125492a9341
132aca89679
14180331a81
15d8b387ba
hex8a5510a1

2320830625 has 45 divisors (see below), whose sum is σ = 3037161391. Its totient is φ = 1772840000.

The previous prime is 2320830607. The next prime is 2320830641. The reversal of 2320830625 is 5260380232.

The square root of 2320830625 is 48175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2311782561 + 9048064 = 48081^2 + 3008^2 .

It is not a de Polignac number, because 2320830625 - 213 = 2320822433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49379352 + ... + 49379398.

Almost surely, 22320830625 is an apocalyptic number.

2320830625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2320830625 is the 48175-th square number.

2320830625 is the 24088-th centered octagonal number.

It is an amenable number.

2320830625 is a deficient number, since it is larger than the sum of its proper divisors (716330766).

2320830625 is an frugal number, since it uses more digits than its factorization.

2320830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The cubic root of 2320830625 is about 1323.9791591128.

The spelling of 2320830625 in words is "two billion, three hundred twenty million, eight hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 41 47 125 205 235 625 1025 1175 1681 1927 2209 5125 5875 8405 9635 11045 25625 29375 42025 48175 55225 79007 90569 210125 240875 276125 395035 452845 1050625 1204375 1380625 1975175 2264225 3713329 9875875 11321125 18566645 49379375 56605625 92833225 464166125 2320830625