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2307361225 = 521327392
BaseRepresentation
bin1000100110000111…
…1000100111001001
312221210201002120011
42021201320213021
514211141024400
61020542431521
7111115150441
oct21141704711
95853632504
102307361225
11a84499704
125448925a1
132aa051900
1417c627121
15d78778ba
hex898789c9

2307361225 has 27 divisors (see below), whose sum is σ = 3102342453. Its totient is φ = 1701591840.

The previous prime is 2307361211. The next prime is 2307361237. The reversal of 2307361225 is 5221637032.

The square root of 2307361225 is 48035.

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 594725769 + 1712635456 = 24387^2 + 41384^2 .

It is not a de Polignac number, because 2307361225 - 225 = 2273806793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3121906 + ... + 3122644.

Almost surely, 22307361225 is an apocalyptic number.

2307361225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2307361225 is the 48035-th square number.

2307361225 is the 24018-th centered octagonal number.

It is an amenable number.

2307361225 is a deficient number, since it is larger than the sum of its proper divisors (794981228).

2307361225 is an frugal number, since it uses more digits than its factorization.

2307361225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The cubic root of 2307361225 is about 1321.4128629668.

Adding to 2307361225 its reverse (5221637032), we get a palindrome (7528998257).

It can be divided in two parts, 2307361 and 225, that multiplied together give a square (519156225 = 227852).

The spelling of 2307361225 in words is "two billion, three hundred seven million, three hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 739 845 3695 4225 9607 18475 48035 124891 240175 546121 624455 2730605 3122275 7099573 13653025 35497865 92294449 177489325 461472245 2307361225