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1205303225 = 52724572153
BaseRepresentation
bin100011111010111…
…0111011110111001
310002222222202012012
41013311313132321
54432024200400
6315333455305
741603623400
oct10765673671
93088882165
101205303225
115693a9175
122977a1535
13162930299
14b6110637
1570c36d35
hex47d777b9

1205303225 has 36 divisors (see below), whose sum is σ = 1743202044. Its totient is φ = 824302080.

The previous prime is 1205303207. The next prime is 1205303227. The reversal of 1205303225 is 5223035021.

It can be written as a sum of positive squares in 6 ways, for example, as 44129449 + 1161173776 = 6643^2 + 34076^2 .

It is a de Polignac number, because none of the positive numbers 2k-1205303225 is a prime.

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 1205303225.

It is not an unprimeable number, because it can be changed into a prime (1205303227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 558749 + ... + 560901.

It is an arithmetic number, because the mean of its divisors is an integer number (48422279).

Almost surely, 21205303225 is an apocalyptic number.

It is an amenable number.

1205303225 is a deficient number, since it is larger than the sum of its proper divisors (537898819).

1205303225 is a wasteful number, since it uses less digits than its factorization.

1205303225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1205303225 is about 34717.4772268954. The cubic root of 1205303225 is about 1064.2216903022.

Adding to 1205303225 its reverse (5223035021), we get a palindrome (6428338246).

The spelling of 1205303225 in words is "one billion, two hundred five million, three hundred three thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 457 1225 2153 2285 3199 10765 11425 15071 15995 22393 53825 75355 79975 105497 111965 376775 527485 559825 983921 2637425 4919605 6887447 24598025 34437235 48212129 172186175 241060645 1205303225