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219103968 = 2532282333
BaseRepresentation
bin11010000111101…
…00001011100000
3120021021122010210
431003310023200
5422042311333
633424054120
75300232036
oct1503641340
9507248123
10219103968
11102751066
1261464340
1336515925
1421156556
151437ea63
hexd0f42e0

219103968 has 24 divisors (see below), whose sum is σ = 575148168. Its totient is φ = 73034624.

The previous prime is 219103943. The next prime is 219104057. The reversal of 219103968 is 869301912.

219103968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

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, 1141071 + ... + 1141262.

It is an arithmetic number, because the mean of its divisors is an integer number (23964507).

Almost surely, 2219103968 is an apocalyptic number.

It is an amenable number.

219103968 is an abundant number, since it is smaller than the sum of its proper divisors (356044200).

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

219103968 is a wasteful number, since it uses less digits than its factorization.

219103968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282346 (or 2282338 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 219103968 is about 14802.1609233247. The cubic root of 219103968 is about 602.8603864240.

It can be divided in two parts, 21910 and 3968, that added together give a triangular number (25878 = T227).

The spelling of 219103968 in words is "two hundred nineteen million, one hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2282333 4564666 6846999 9129332 13693998 18258664 27387996 36517328 54775992 73034656 109551984 219103968