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4400332225 = 52132672
BaseRepresentation
bin1000001100100011…
…11011110111000001
3102100200000001000121
410012101323313001
533002441112400
62004350220241
7214021130632
oct40621736701
912320001017
104400332225
111958966803
12a297b4681
1355184b2a3
142da5a3889
151ab4a221a
hex10647bdc1

4400332225 has 9 divisors (see below), whose sum is σ = 5456823267. Its totient is φ = 3520000440.

The previous prime is 4400332217. The next prime is 4400332243. The reversal of 4400332225 is 5222330044.

The square root of 4400332225 is 66335.

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., 1584119601 + 2816212624 = 39801^2 + 53068^2 .

It is not a de Polignac number, because 4400332225 - 23 = 4400332217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4400332225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 325042 + ... + 338308.

Almost surely, 24400332225 is an apocalyptic number.

4400332225 is the 66335-th square number.

4400332225 is the 33168-th centered octagonal number.

It is an amenable number.

4400332225 is a deficient number, since it is larger than the sum of its proper divisors (1056491042).

4400332225 is an frugal number, since it uses more digits than its factorization.

4400332225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26544 (or 13272 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The cubic root of 4400332225 is about 1638.6837824374.

Multiplying 4400332225 by its sum of digits (25), we get a square (110008305625 = 3316752).

4400332225 divided by its sum of digits (25) gives a square (176013289 = 132672).

Adding to 4400332225 its reverse (5222330044), we get a palindrome (9622662269).

The spelling of 4400332225 in words is "four billion, four hundred million, three hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 13267 66335 331675 176013289 880066445 4400332225