Search a number
-
+
214480458 = 23247594297
BaseRepresentation
bin11001100100010…
…11011001001010
3112221120201212200
430302023121022
5414401333313
633141021030
75213024313
oct1462133112
9487521780
10214480458
11100083385
125b9b4776
133558731a
14206b160a
1513c69b73
hexcc8b64a

214480458 has 48 divisors (see below), whose sum is σ = 482751360. Its totient is φ = 68770368.

The previous prime is 214480457. The next prime is 214480459. The reversal of 214480458 is 854084412.

It is an interprime number because it is at equal distance from previous prime (214480457) and next prime (214480459).

It is not an unprimeable number, because it can be changed into a prime (214480457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47766 + ... + 52062.

It is an arithmetic number, because the mean of its divisors is an integer number (10057320).

Almost surely, 2214480458 is an apocalyptic number.

214480458 is an abundant number, since it is smaller than the sum of its proper divisors (268270902).

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

214480458 is a wasteful number, since it uses less digits than its factorization.

214480458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 214480458 is about 14645.1513478011. The cubic root of 214480458 is about 598.5897043743.

The spelling of 214480458 in words is "two hundred fourteen million, four hundred eighty thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 47 59 94 118 141 177 282 354 423 531 846 1062 2773 4297 5546 8319 8594 12891 16638 24957 25782 38673 49914 77346 201959 253523 403918 507046 605877 760569 1211754 1521138 1817631 2281707 3635262 4563414 11915581 23831162 35746743 71493486 107240229 214480458