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212212033 = 111031571193
BaseRepresentation
bin11001010011000…
…01100101000001
3112210022111011221
430221201211001
5413311241113
633020235041
75154525655
oct1451414501
9483274157
10212212033
11a9874050
125b09ba81
1334c71967
1420280a65
151396c98d
hexca61941

212212033 has 16 divisors (see below), whose sum is σ = 235437696. Its totient is φ = 189671040.

The previous prime is 212211997. The next prime is 212212051. The reversal of 212212033 is 330212212.

It is a cyclic number.

It is not a de Polignac number, because 212212033 - 213 = 212203841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212211998 and 212212016.

It is not an unprimeable number, because it can be changed into a prime (212212073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177285 + ... + 178477.

It is an arithmetic number, because the mean of its divisors is an integer number (14714856).

Almost surely, 2212212033 is an apocalyptic number.

It is an amenable number.

212212033 is a deficient number, since it is larger than the sum of its proper divisors (23225663).

212212033 is a wasteful number, since it uses less digits than its factorization.

212212033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464.

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

The square root of 212212033 is about 14567.4992019907. The cubic root of 212212033 is about 596.4719182086.

Adding to 212212033 its reverse (330212212), we get a palindrome (542424245).

The spelling of 212212033 in words is "two hundred twelve million, two hundred twelve thousand, thirty-three".

Divisors: 1 11 103 157 1133 1193 1727 13123 16171 122879 177881 187301 1351669 2060311 19292003 212212033