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440370225 = 325213992
BaseRepresentation
bin11010001111111…
…000010000110001
31010200122010101100
4122033320100301
51400213321400
6111410355013
713625041131
oct3217702061
91120563340
10440370225
11206639739
1210358ba69
13703077c9
14426b2ac1
15289da100
hex1a3f8431

440370225 has 27 divisors (see below), whose sum is σ = 789316203. Its totient is φ = 234696240.

The previous prime is 440370211. The next prime is 440370241. The reversal of 440370225 is 522073044.

The square root of 440370225 is 20985.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 158533281 + 281836944 = 12591^2 + 16788^2 .

It is a de Polignac number, because none of the positive numbers 2k-440370225 is a prime.

It is a Curzon 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, 314076 + ... + 315474.

Almost surely, 2440370225 is an apocalyptic number.

440370225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

440370225 is the 20985-th square number.

440370225 is the 10493-rd centered octagonal number.

It is an amenable number.

440370225 is a deficient number, since it is larger than the sum of its proper divisors (348945978).

440370225 is an equidigital number, since it uses as much as digits as its factorization.

440370225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The cubic root of 440370225 is about 760.8037578140.

The spelling of 440370225 in words is "four hundred forty million, three hundred seventy thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1399 4197 6995 12591 20985 34975 62955 104925 314775 1957201 5871603 9786005 17614809 29358015 48930025 88074045 146790075 440370225