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318087225 = 3252292412
BaseRepresentation
bin10010111101011…
…010000000111001
3211011112111122100
4102331122000321
51122412242400
651321414013
710611461001
oct2275320071
9734474570
10318087225
11153608705
128a63a309
1350b916c1
1430361001
151cdd3100
hex12f5a039

318087225 has 81 divisors (see below), whose sum is σ = 604795399. Its totient is φ = 159801600.

The previous prime is 318087197. The next prime is 318087229. The reversal of 318087225 is 522780813.

The square root of 318087225 is 17835.

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

It can be written as a sum of positive squares in 13 ways, for example, as 314672121 + 3415104 = 17739^2 + 1848^2 .

It is not a de Polignac number, because 318087225 - 25 = 318087193 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 318087225.

It is not an unprimeable number, because it can be changed into a prime (318087229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7758205 + ... + 7758245.

Almost surely, 2318087225 is an apocalyptic number.

318087225 is the 17835-th square number.

318087225 is the 8918-th centered octagonal number.

It is an amenable number.

318087225 is a deficient number, since it is larger than the sum of its proper divisors (286708174).

318087225 is a wasteful number, since it uses less digits than its factorization.

318087225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 318087225 is about 682.6248211907.

Multiplying 318087225 by its sum of digits (36), we get a square (11451140100 = 1070102).

The spelling of 318087225 in words is "three hundred eighteen million, eighty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 41 45 75 87 123 145 205 225 261 369 435 615 725 841 1025 1189 1305 1681 1845 2175 2523 3075 3567 4205 5043 5945 6525 7569 8405 9225 10701 12615 15129 17835 21025 25215 29725 34481 37845 42025 48749 53505 63075 75645 89175 103443 126075 146247 172405 189225 243745 267525 310329 378225 438741 517215 731235 862025 1218725 1413721 1551645 2193705 2586075 3656175 4241163 7068605 7758225 10968525 12723489 21205815 35343025 63617445 106029075 318087225