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210830268 = 223112636073
BaseRepresentation
bin11001001000100…
…00001110111100
3112200201021202110
430210100032330
5412433032033
632530454020
75140012335
oct1444201674
9480637673
10210830268
11a900a9a0
125a734310
13348a9a4c
142000128c
1513798363
hexc9103bc

210830268 has 48 divisors (see below), whose sum is σ = 538788096. Its totient is φ = 63634560.

The previous prime is 210830267. The next prime is 210830273. The reversal of 210830268 is 862038012.

210830268 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 (210830267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31680 + ... + 37752.

It is an arithmetic number, because the mean of its divisors is an integer number (11224752).

Almost surely, 2210830268 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 210830268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269394048).

210830268 is an abundant number, since it is smaller than the sum of its proper divisors (327957828).

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

210830268 is a wasteful number, since it uses less digits than its factorization.

210830268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 210830268 is about 14519.9954545447. The cubic root of 210830268 is about 595.1745061668.

The spelling of 210830268 in words is "two hundred ten million, eight hundred thirty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 263 526 789 1052 1578 2893 3156 5786 6073 8679 11572 12146 17358 18219 24292 34716 36438 66803 72876 133606 200409 267212 400818 801636 1597199 3194398 4791597 6388796 9583194 17569189 19166388 35138378 52707567 70276756 105415134 210830268