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2434466225 = 52412531093
BaseRepresentation
bin1001000100011011…
…0000000110110001
320021122212200211202
42101012300012301
514441210404400
61041323020545
7114220423112
oct22106600661
96248780752
102434466225
11103a213564
1257b36a755
132ca495779
14191472209
15e3ad34d5
hex911b01b1

2434466225 has 36 divisors (see below), whose sum is σ = 3155426388. Its totient is φ = 1862515200.

The previous prime is 2434466213. The next prime is 2434466227. The reversal of 2434466225 is 5226644342.

It can be written as a sum of positive squares in 18 ways, for example, as 1820814241 + 613651984 = 42671^2 + 24772^2 .

It is not a de Polignac number, because 2434466225 - 226 = 2367357361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2434466227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2226779 + ... + 2227871.

It is an arithmetic number, because the mean of its divisors is an integer number (87650733).

Almost surely, 22434466225 is an apocalyptic number.

2434466225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2434466225 is a deficient number, since it is larger than the sum of its proper divisors (720960163).

2434466225 is a wasteful number, since it uses less digits than its factorization.

2434466225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1192 counting only the distinct ones).

The product of its digits is 276480, while the sum is 38.

The square root of 2434466225 is about 49340.3103455988. The cubic root of 2434466225 is about 1345.2445808493.

The spelling of 2434466225 in words is "two billion, four hundred thirty-four million, four hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 41 53 205 265 1025 1093 1325 1681 2173 5465 8405 10865 27325 42025 44813 54325 57929 89093 224065 289645 445465 1120325 1448225 1837333 2227325 2375089 9186665 11875445 45933325 59377225 97378649 486893245 2434466225