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318225992 = 2372172532
BaseRepresentation
bin10010111101111…
…011111001001000
3211011210112222212
4102331323321020
51122431212432
651324404252
710612606400
oct2275737110
9734715885
10318225992
111536a2997
128a6a6688
1350c0c906
1430399800
151ce0e2b2
hex12f7be48

318225992 has 108 divisors (see below), whose sum is σ = 751494555. Its totient is φ = 125938176.

The previous prime is 318225991. The next prime is 318226001. The reversal of 318225992 is 299522813.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 297010756 + 21215236 = 17234^2 + 4606^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12614.

Its product of digits (77760) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (318225991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6004238 + ... + 6004290.

Almost surely, 2318225992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318225992

318225992 is an abundant number, since it is smaller than the sum of its proper divisors (433268563).

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

318225992 is a wasteful number, since it uses less digits than its factorization.

318225992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 79 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 318225992 is about 17838.8898757742. The cubic root of 318225992 is about 682.7240728211.

The spelling of 318225992 in words is "three hundred eighteen million, two hundred twenty-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 53 56 68 98 106 119 136 196 212 238 289 371 392 424 476 578 742 833 901 952 1156 1484 1666 1802 2023 2312 2597 2809 2968 3332 3604 4046 5194 5618 6307 6664 7208 8092 10388 11236 12614 14161 15317 16184 19663 20776 22472 25228 28322 30634 39326 44149 47753 50456 56644 61268 78652 88298 95506 107219 113288 122536 137641 157304 176596 191012 214438 275282 334271 353192 382024 428876 550564 668542 750533 811801 857752 1101128 1337084 1501066 1623602 2339897 2674168 3002132 3247204 4679794 5682607 6004264 6494408 9359588 11365214 18719176 22730428 39778249 45460856 79556498 159112996 318225992