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214031233 = 1321816997
BaseRepresentation
bin11001100000111…
…01101110000001
3112220201220122201
430300131232001
5414242444413
633123233201
75206143523
oct1460355601
9486656581
10214031233
11aa8a6919
125b818801
133545aa00
14205d5a13
1513bcb9dd
hexcc1db81

214031233 has 12 divisors (see below), whose sum is σ = 233075388. Its totient is φ = 196447680.

The previous prime is 214031231. The next prime is 214031239. The reversal of 214031233 is 332130412.

It can be written as a sum of positive squares in 6 ways, for example, as 115068529 + 98962704 = 10727^2 + 9948^2 .

It is not a de Polignac number, because 214031233 - 21 = 214031231 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214031233.

It is not an unprimeable number, because it can be changed into a prime (214031231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27091 + ... + 34087.

It is an arithmetic number, because the mean of its divisors is an integer number (19422949).

Almost surely, 2214031233 is an apocalyptic number.

It is an amenable number.

214031233 is a deficient number, since it is larger than the sum of its proper divisors (19044155).

214031233 is a wasteful number, since it uses less digits than its factorization.

214031233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 214031233 is about 14629.8063213427. The cubic root of 214031233 is about 598.1715009049.

Adding to 214031233 its reverse (332130412), we get a palindrome (546161645).

The spelling of 214031233 in words is "two hundred fourteen million, thirty-one thousand, two hundred thirty-three".

Divisors: 1 13 169 181 2353 6997 30589 90961 1182493 1266457 16463941 214031233