Search a number
-
+
214580884 = 227312331061
BaseRepresentation
bin11001100101000…
…11111010010100
3112221202211122011
430302203322110
5414413042014
633143114004
75213623150
oct1462437224
9487684564
10214580884
11100141881
125ba42904
13355c0c4b
14206da060
1513c897c4
hexcca3e94

214580884 has 48 divisors (see below), whose sum is σ = 445326336. Its totient is φ = 88531200.

The previous prime is 214580801. The next prime is 214580893. The reversal of 214580884 is 488085412.

214580884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201714 + ... + 202774.

It is an arithmetic number, because the mean of its divisors is an integer number (9277632).

Almost surely, 2214580884 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 214580884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222663168).

214580884 is an abundant number, since it is smaller than the sum of its proper divisors (230745452).

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

214580884 is a wasteful number, since it uses less digits than its factorization.

214580884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 214580884 is about 14648.5795898442. The cubic root of 214580884 is about 598.6831155103.

The spelling of 214580884 in words is "two hundred fourteen million, five hundred eighty thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 233 434 466 868 932 1061 1631 2122 3262 4244 6524 7223 7427 14446 14854 28892 29708 32891 50561 65782 101122 131564 202244 230237 247213 460474 494426 920948 988852 1730491 3460982 6921964 7663603 15327206 30654412 53645221 107290442 214580884