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4223025 = 32521372
BaseRepresentation
bin10000000111000000110001
321221112220100
4100013000301
52040114100
6230303013
750616012
oct20070061
97845810
104223025
112424904
1214b7a69
13b4b241
147bd009
15586400
hex407031

4223025 has 27 divisors (see below), whose sum is σ = 7619521. Its totient is φ = 2235840.

The previous prime is 4223003. The next prime is 4223027. The reversal of 4223025 is 5203224.

The square root of 4223025 is 2055.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12321 + 4210704 = 111^2 + 2052^2 .

It is not a de Polignac number, because 4223025 - 29 = 4222513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4222989 and 4223007.

It is not an unprimeable number, because it can be changed into a prime (4223027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30757 + ... + 30893.

Almost surely, 24223025 is an apocalyptic number.

4223025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4223025 is the 2055-th square number.

4223025 is the 1028-th centered octagonal number.

It is an amenable number.

4223025 is a deficient number, since it is larger than the sum of its proper divisors (3396496).

4223025 is a wasteful number, since it uses less digits than its factorization.

4223025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The cubic root of 4223025 is about 161.6371623393.

The spelling of 4223025 in words is "four million, two hundred twenty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 137 225 411 685 1233 2055 3425 6165 10275 18769 30825 56307 93845 168921 281535 469225 844605 1407675 4223025