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2316978225 = 325232092
BaseRepresentation
bin1000101000011010…
…0100100000110001
312222110210200121100
42022012210200301
514221121300400
61021524515013
7111262663362
oct21206444061
95873720540
102316978225
11a89968041
12547b4ba69
132ac03b043
1417da0bb69
15d8627100
hex8a1a4831

2316978225 has 27 divisors (see below), whose sum is σ = 4151259073. Its totient is φ = 1235336640.

The previous prime is 2316978217. The next prime is 2316978227. The reversal of 2316978225 is 5228796132.

The square root of 2316978225 is 48135.

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 14130081 + 2302848144 = 3759^2 + 47988^2 .

It is not a de Polignac number, because 2316978225 - 23 = 2316978217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2316978227) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 720421 + ... + 723629.

Almost surely, 22316978225 is an apocalyptic number.

2316978225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2316978225 is the 48135-th square number.

2316978225 is the 24068-th centered octagonal number.

It is an amenable number.

2316978225 is a deficient number, since it is larger than the sum of its proper divisors (1834280848).

2316978225 is an frugal number, since it uses more digits than its factorization.

2316978225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 3217 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The cubic root of 2316978225 is about 1323.2461856094.

The spelling of 2316978225 in words is "two billion, three hundred sixteen million, nine hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3209 9627 16045 28881 48135 80225 144405 240675 722025 10297681 30893043 51488405 92679129 154465215 257442025 463395645 772326075 2316978225