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305424225 = 32526732017
BaseRepresentation
bin10010001101000…
…110011101100001
3210021201011021100
4102031012131201
51111142033400
650150145013
710366030431
oct2215063541
9707634240
10305424225
11147449817
1286352169
134b3799c2
142c7c62c1
151bc31100
hex12346761

305424225 has 36 divisors (see below), whose sum is σ = 548133196. Its totient is φ = 162570240.

The previous prime is 305424167. The next prime is 305424247. The reversal of 305424225 is 522424503.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 467856 + 304956369 = 684^2 + 17463^2 .

It is not a de Polignac number, because 305424225 - 223 = 297035617 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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150417 + ... + 152433.

Almost surely, 2305424225 is an apocalyptic number.

It is an amenable number.

305424225 is a deficient number, since it is larger than the sum of its proper divisors (242708971).

305424225 is a wasteful number, since it uses less digits than its factorization.

305424225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 305424225 is about 17476.3905026181. The cubic root of 305424225 is about 673.4434917363.

Adding to 305424225 its reverse (522424503), we get a palindrome (827848728).

The spelling of 305424225 in words is "three hundred five million, four hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 673 2017 2019 3365 6051 6057 10085 10095 16825 18153 30255 30285 50425 50475 90765 151275 151425 453825 1357441 4072323 6787205 12216969 20361615 33936025 61084845 101808075 305424225