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214925568 = 283111319103
BaseRepresentation
bin11001100111110…
…00000100000000
3112222102100110020
430303320010000
5420010104233
633154333440
75216560104
oct1463700400
9488370406
10214925568
11100357840
125bb8a280
13356b1ac0
1420789904
1513d069b3
hexccf8100

214925568 has 288 divisors, whose sum is σ = 714255360. Its totient is φ = 56401920.

The previous prime is 214925561. The next prime is 214925597. The reversal of 214925568 is 865529412.

214925568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214925561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086605 + ... + 2086707.

Almost surely, 2214925568 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 214925568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357127680).

214925568 is an abundant number, since it is smaller than the sum of its proper divisors (499329792).

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

214925568 is a wasteful number, since it uses less digits than its factorization.

214925568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 214925568 is about 14660.3399687729. The cubic root of 214925568 is about 599.0035014562.

The spelling of 214925568 in words is "two hundred fourteen million, nine hundred twenty-five thousand, five hundred sixty-eight".