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2304225 = 3252721119
BaseRepresentation
bin1000110010100011100001
311100001210200
420302203201
51042213400
6121215413
725404600
oct10624341
94301720
102304225
111334220
12931569
13628a61
1443da37
15307b00
hex2328e1

2304225 has 108 divisors (see below), whose sum is σ = 5513040. Its totient is φ = 907200.

The previous prime is 2304223. The next prime is 2304229. The reversal of 2304225 is 5224032.

2304225 = T166 + T167 + ... + T263.

It is not a de Polignac number, because 2304225 - 21 = 2304223 is a prime.

2304225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2304198 and 2304207.

It is not an unprimeable number, because it can be changed into a prime (2304223) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 121266 + ... + 121284.

22304225 is an apocalyptic number.

2304225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2304225 is an abundant number, since it is smaller than the sum of its proper divisors (3208815).

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

2304225 is a wasteful number, since it uses less digits than its factorization.

2304225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

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

The square root of 2304225 is about 1517.9673909541. The cubic root of 2304225 is about 132.0813892003.

Adding to 2304225 its reverse (5224032), we get a palindrome (7528257).

It can be divided in two parts, 2304 and 225, that multiplied together give a square (518400 = 7202).

The spelling of 2304225 in words is "two million, three hundred four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 19 21 25 33 35 45 49 55 57 63 75 77 95 99 105 133 147 165 171 175 209 225 231 245 275 285 315 385 399 441 475 495 525 539 627 665 693 735 825 855 931 1045 1155 1197 1225 1425 1463 1575 1617 1881 1925 1995 2205 2475 2695 2793 3135 3325 3465 3675 4275 4389 4655 4851 5225 5775 5985 7315 8085 8379 9405 9975 10241 11025 13167 13475 13965 15675 17325 21945 23275 24255 29925 30723 36575 40425 41895 47025 51205 65835 69825 92169 109725 121275 153615 209475 256025 329175 460845 768075 2304225