Search a number
-
+
422506305 = 325131514783
BaseRepresentation
bin11001001011101…
…110111101000001
31002110000112200200
4121023232331001
51331130200210
6105531435413
713320146544
oct3113567501
91073015620
10422506305
111a7548271
12b95b5b69
13696c1740
144018285b
152715c0c0
hex192eef41

422506305 has 48 divisors (see below), whose sum is σ = 794067456. Its totient is φ = 206582400.

The previous prime is 422506289. The next prime is 422506319. The reversal of 422506305 is 503605224.

422506305 is a `hidden beast` number, since 4 + 2 + 25 + 0 + 630 + 5 = 666.

It is not a de Polignac number, because 422506305 - 24 = 422506289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85944 + ... + 90726.

It is an arithmetic number, because the mean of its divisors is an integer number (16543072).

Almost surely, 2422506305 is an apocalyptic number.

422506305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422506305 is a deficient number, since it is larger than the sum of its proper divisors (371561151).

422506305 is a wasteful number, since it uses less digits than its factorization.

422506305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 422506305 is about 20554.9581609888. The cubic root of 422506305 is about 750.3739202139.

The spelling of 422506305 in words is "four hundred twenty-two million, five hundred six thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 151 195 453 585 755 1359 1963 2265 4783 5889 6795 9815 14349 17667 23915 29445 43047 62179 71745 88335 186537 215235 310895 559611 722233 932685 2166699 2798055 3611165 6500097 9389029 10833495 28167087 32500485 46945145 84501261 140835435 422506305