Search a number
-
+
218381056 = 283732287
BaseRepresentation
bin11010000010000…
…11101100000000
3120012220220111021
431001003230000
5421401143211
633400355224
75261131315
oct1501035400
9505826437
10218381056
111022a7a13
1261175b14
133632187a
1421008d0c
151428a771
hexd043b00

218381056 has 36 divisors (see below), whose sum is σ = 437268832. Its totient is φ = 108850176.

The previous prime is 218381029. The next prime is 218381063. The reversal of 218381056 is 650183812.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94345 + ... + 96631.

Almost surely, 2218381056 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 218381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218634416).

218381056 is an abundant number, since it is smaller than the sum of its proper divisors (218887776).

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

218381056 is an equidigital number, since it uses as much as digits as its factorization.

218381056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 218381056 is about 14777.7216105867. The cubic root of 218381056 is about 602.1966296974.

The spelling of 218381056 in words is "two hundred eighteen million, three hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 373 746 1492 2287 2984 4574 5968 9148 11936 18296 23872 36592 47744 73184 95488 146368 292736 585472 853051 1706102 3412204 6824408 13648816 27297632 54595264 109190528 218381056