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364394225 = 52131736481
BaseRepresentation
bin10101101110000…
…011011011110001
3221101200010220102
4111232003123301
51221241103400
6100054122145
712013204556
oct2556033361
9841603812
10364394225
11177766858
12a2050355
135a655bb0
1436576a2d
1521ecd9d5
hex15b836f1

364394225 has 24 divisors (see below), whose sum is σ = 489494712. Its totient is φ = 267494400.

The previous prime is 364394203. The next prime is 364394227. The reversal of 364394225 is 522493463.

It can be written as a sum of positive squares in 12 ways, for example, as 15713296 + 348680929 = 3964^2 + 18673^2 .

It is not a de Polignac number, because 364394225 - 28 = 364393969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (364394227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52985 + ... + 59465.

It is an arithmetic number, because the mean of its divisors is an integer number (20395613).

Almost surely, 2364394225 is an apocalyptic number.

It is an amenable number.

364394225 is a deficient number, since it is larger than the sum of its proper divisors (125100487).

364394225 is a wasteful number, since it uses less digits than its factorization.

364394225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6672 counting only the distinct ones).

The product of its digits is 155520, while the sum is 38.

The square root of 364394225 is about 19089.1127347501. The cubic root of 364394225 is about 714.2613690274.

The spelling of 364394225 in words is "three hundred sixty-four million, three hundred ninety-four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 173 325 865 2249 4325 6481 11245 32405 56225 84253 162025 421265 1121213 2106325 5606065 14575769 28030325 72878845 364394225