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214310268 = 223216193677
BaseRepresentation
bin11001100011000…
…01110101111100
3112221021002102100
430301201311330
5414330412033
633133225100
75211415164
oct1461416574
9487232370
10214310268
11aaa77527
125b932190
1335527a13
14206695a4
1513c34513
hexcc61d7c

214310268 has 36 divisors (see below), whose sum is σ = 542210760. Its totient is φ = 71373216.

The previous prime is 214310249. The next prime is 214310269. The reversal of 214310268 is 862013412.

214310268 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214310269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56446 + ... + 60122.

It is an arithmetic number, because the mean of its divisors is an integer number (15061410).

Almost surely, 2214310268 is an apocalyptic number.

It is an amenable number.

214310268 is an abundant number, since it is smaller than the sum of its proper divisors (327900492).

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

214310268 is a wasteful number, since it uses less digits than its factorization.

214310268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5301 counting only the distinct ones).

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

The square root of 214310268 is about 14639.3397392096. The cubic root of 214310268 is about 598.4313357281.

The spelling of 214310268 in words is "two hundred fourteen million, three hundred ten thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1619 3238 3677 4857 6476 7354 9714 11031 14571 14708 19428 22062 29142 33093 44124 58284 66186 132372 5953063 11906126 17859189 23812252 35718378 53577567 71436756 107155134 214310268