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212014033 = 72113710631
BaseRepresentation
bin11001010001100…
…01001111010001
3112202221102120121
430220301033101
5413233422113
633012110241
75153042500
oct1450611721
9482842517
10212014033
11a9749310
125b005381
1334c027ba
142022c837
151392de8d
hexca313d1

212014033 has 24 divisors (see below), whose sum is σ = 276346944. Its totient is φ = 160725600.

The previous prime is 212014009. The next prime is 212014051. The reversal of 212014033 is 330410212.

It is a happy number.

It is not a de Polignac number, because 212014033 - 25 = 212014001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212013998 and 212014016.

It is not an unprimeable number, because it can be changed into a prime (212014093) 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 23 ways as a sum of consecutive naturals, for example, 14628 + ... + 25258.

It is an arithmetic number, because the mean of its divisors is an integer number (11514456).

Almost surely, 2212014033 is an apocalyptic number.

It is an amenable number.

212014033 is a deficient number, since it is larger than the sum of its proper divisors (64332911).

212014033 is a wasteful number, since it uses less digits than its factorization.

212014033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10693 (or 10686 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 212014033 is about 14560.7016657852. The cubic root of 212014033 is about 596.2863519334.

Adding to 212014033 its reverse (330410212), we get a palindrome (542424245).

The spelling of 212014033 in words is "two hundred twelve million, fourteen thousand, thirty-three".

Divisors: 1 7 11 37 49 77 259 407 539 1813 2849 10631 19943 74417 116941 393347 520919 818587 2753429 4326817 5730109 19274003 30287719 212014033