Search a number
-
+
218724980 = 22533072
BaseRepresentation
bin11010000100101…
…11101001110100
3120020120101021012
431002113221310
5421443144410
633412011352
75264063105
oct1502275164
9506511235
10218724980
11102512351
1261300b58
1336412286
14210983ac
1514307605
hexd097a74

218724980 has 18 divisors (see below), whose sum is σ = 459461394. Its totient is φ = 87463536.

The previous prime is 218724967. The next prime is 218724991. The reversal of 218724980 is 89427812.

218724980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 174979984 + 43744996 = 13228^2 + 6614^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64487 + ... + 67793.

It is an arithmetic number, because the mean of its divisors is an integer number (25525633).

Almost surely, 2218724980 is an apocalyptic number.

218724980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218724980 is an abundant number, since it is smaller than the sum of its proper divisors (240736414).

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

218724980 is an frugal number, since it uses more digits than its factorization.

218724980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 218724980 is about 14789.3536031836. The cubic root of 218724980 is about 602.5125930691.

The spelling of 218724980 in words is "two hundred eighteen million, seven hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 3307 6614 13228 16535 33070 66140 10936249 21872498 43744996 54681245 109362490 218724980