Search a number
-
+
219087568 = 24717115067
BaseRepresentation
bin11010000111100…
…00001011010000
3120021020210122101
431003300023100
5422041300233
633423450144
75300133160
oct1503601320
9507223571
10219087568
1110273a807
1261456954
133650b31b
14211505a0
1514379c7d
hexd0f02d0

219087568 has 40 divisors (see below), whose sum is σ = 513663552. Its totient is φ = 88370688.

The previous prime is 219087541. The next prime is 219087569. The reversal of 219087568 is 865780912.

219087568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219087569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55630 + ... + 59437.

Almost surely, 2219087568 is an apocalyptic number.

219087568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

219087568 is an abundant number, since it is smaller than the sum of its proper divisors (294575984).

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

219087568 is a wasteful number, since it uses less digits than its factorization.

219087568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115099 (or 115093 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The square root of 219087568 is about 14801.6069397887. The cubic root of 219087568 is about 602.8453446197.

The spelling of 219087568 in words is "two hundred nineteen million, eighty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 115067 230134 460268 805469 920536 1610938 1841072 1956139 3221876 3912278 6443752 7824556 12887504 13692973 15649112 27385946 31298224 54771892 109543784 219087568