Search a number
2205225 = 3652112
BaseRepresentation
bin1000011010011000101001
311011001000000
420122120221
51031031400
6115133213
724513141
oct10323051
94131000
102205225
111276900
128a4209
135c2989
14415921
152d8600
hex21a629

2205225 has 63 divisors (see below), whose sum is σ = 4506439. Its totient is φ = 1069200.

The previous prime is 2205199. The next prime is 2205233. The reversal of 2205225 is 5225022.

Multipling 2205225 by its product of nonzero digits (400), we get a square (882090000 = 297002).

It can be divided in two parts, 220 and 5225, that added together give a palindrome (5445).

2205225 = 13 + 23 + ... + 543.

The square root of 2205225 is 1485.

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., 793881 + 1411344 = 891^2 + 1188^2 .

It is not a de Polignac number, because 2205225 - 211 = 2203177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2205198 and 2205207.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 200470 + ... + 200480.

22205225 is an apocalyptic number.

2205225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2205225 is the 1485-th square number.

2205225 is the 743-rd centered octagonal number.

It is an amenable number.

2205225 is an abundant number, since it is smaller than the sum of its proper divisors (2301214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2205225 is an equidigital number, since it uses as much as digits as its factorization.

2205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The cubic root of 2205225 is about 130.1620267693.

The spelling of 2205225 in words is "two million, two hundred five thousand, two hundred twenty-five".