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201214312 = 231317113809
BaseRepresentation
bin10111111111001…
…00100101101000
3112000121202010221
423333210211220
5403002324222
631544415424
74662202435
oct1377444550
9460552127
10201214312
11a3642322
1257477574
13328c0c30
141ca1ab8c
15129e90c7
hexbfe4968

201214312 has 32 divisors (see below), whose sum is σ = 430201800. Its totient is φ = 87404544.

The previous prime is 201214309. The next prime is 201214319. The reversal of 201214312 is 213412102.

201214312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 147719716 + 53494596 = 12154^2 + 7314^2 .

It is not an unprimeable number, because it can be changed into a prime (201214319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55137 + ... + 58672.

Almost surely, 2201214312 is an apocalyptic number.

It is an amenable number.

201214312 is an abundant number, since it is smaller than the sum of its proper divisors (228987488).

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

201214312 is a wasteful number, since it uses less digits than its factorization.

201214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113845 (or 113841 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 201214312 is about 14185.0030666193. The cubic root of 201214312 is about 585.9847169540.

Adding to 201214312 its reverse (213412102), we get a palindrome (414626414).

The spelling of 201214312 in words is "two hundred one million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 113809 227618 455236 910472 1479517 1934753 2959034 3869506 5918068 7739012 11836136 15478024 25151789 50303578 100607156 201214312