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1600225 = 52112232
BaseRepresentation
bin110000110101011100001
310000022002121
412012223201
5402201400
654144241
716413244
oct6065341
93008077
101600225
119a3300
12652081
134404a3
142d925b
1521921a
hex186ae1

1600225 has 27 divisors (see below), whose sum is σ = 2280019. Its totient is φ = 1113200.

The previous prime is 1600223. The next prime is 1600241. The reversal of 1600225 is 5220061.

It is a happy number.

The square root of 1600225 is 1265.

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., 576081 + 1024144 = 759^2 + 1012^2 .

It is not a de Polignac number, because 1600225 - 21 = 1600223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1600199 and 1600208.

It is not an unprimeable number, because it can be changed into a prime (1600223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69564 + ... + 69586.

21600225 is an apocalyptic number.

1600225 is the 1265-th square number.

1600225 is the 633-rd centered octagonal number.

It is an amenable number.

1600225 is a deficient number, since it is larger than the sum of its proper divisors (679794).

1600225 is a wasteful number, since it uses less digits than its factorization.

1600225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The cubic root of 1600225 is about 116.9661918048.

Multiplying 1600225 by its sum of digits (16), we get a square (25603600 = 50602).

Adding to 1600225 its reverse (5220061), we get a palindrome (6820286).

It can be divided in two parts, 1600 and 225, that multiplied together give a square (360000 = 6002).

The spelling of 1600225 in words is "one million, six hundred thousand, two hundred twenty-five".

Divisors: 1 5 11 23 25 55 115 121 253 275 529 575 605 1265 2645 2783 3025 5819 6325 13225 13915 29095 64009 69575 145475 320045 1600225