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212903229 = 37112234133
BaseRepresentation
bin11001011000010…
…10010100111101
3112211121121022210
430230022110331
5414000400404
633043131033
75163435060
oct1454122475
9484547283
10212903229
11aa1a6390
125b373a79
1335154456
14203c08d7
1513a57689
hexcb0a53d

212903229 has 32 divisors (see below), whose sum is σ = 355590144. Its totient is φ = 110076480.

The previous prime is 212903221. The next prime is 212903231. The reversal of 212903229 is 922309212.

It is a happy number.

212903229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212903229 - 23 = 212903221 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 212903196 and 212903205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212903221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49447 + ... + 53579.

It is an arithmetic number, because the mean of its divisors is an integer number (11112192).

Almost surely, 2212903229 is an apocalyptic number.

It is an amenable number.

212903229 is a deficient number, since it is larger than the sum of its proper divisors (142686915).

212903229 is a wasteful number, since it uses less digits than its factorization.

212903229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 212903229 is about 14591.2038228516. The cubic root of 212903229 is about 597.1188061268.

The spelling of 212903229 in words is "two hundred twelve million, nine hundred three thousand, two hundred twenty-nine".

Divisors: 1 3 7 11 21 33 77 223 231 669 1561 2453 4133 4683 7359 12399 17171 28931 45463 51513 86793 136389 318241 921659 954723 2764977 6451613 10138249 19354839 30414747 70967743 212903229