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210214368 = 25327132617
BaseRepresentation
bin11001000011110…
…01110111100000
3112122112222220100
430201321313200
5412303324433
632505342400
75131535610
oct1441716740
9478488810
10210214368
11a872a191
125a497a00
1334722600
141dcc0a40
15136c5b13
hexc879de0

210214368 has 216 divisors, whose sum is σ = 740991888. Its totient is φ = 55351296.

The previous prime is 210214363. The next prime is 210214369. The reversal of 210214368 is 863412012.

210214368 is digitally balanced in base 2, 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 (210214363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340396 + ... + 341012.

It is an arithmetic number, because the mean of its divisors is an integer number (3430518).

Almost surely, 2210214368 is an apocalyptic number.

210214368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370495944).

210214368 is an abundant number, since it is smaller than the sum of its proper divisors (530777520).

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

210214368 is a wasteful number, since it uses less digits than its factorization.

210214368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 210214368 is about 14498.7712582825. The cubic root of 210214368 is about 594.5943783467.

The spelling of 210214368 in words is "two hundred ten million, two hundred fourteen thousand, three hundred sixty-eight".