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212020233 = 32313072351
BaseRepresentation
bin11001010001100…
…10110000001001
3112202221202002020
430220302300021
5413234121413
633012155053
75153066535
oct1450626011
9482852066
10212020233
11a9752a37
125b008a89
1334c05579
1420230bc5
1513930c23
hexca32c09

212020233 has 16 divisors (see below), whose sum is σ = 295335936. Its totient is φ = 135040400.

The previous prime is 212020223. The next prime is 212020261. The reversal of 212020233 is 332020212.

It is a cyclic number.

It is not a de Polignac number, because 212020233 - 26 = 212020169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212020213) 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, 89008 + ... + 91358.

It is an arithmetic number, because the mean of its divisors is an integer number (18458496).

Almost surely, 2212020233 is an apocalyptic number.

212020233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212020233 is a deficient number, since it is larger than the sum of its proper divisors (83315703).

212020233 is a wasteful number, since it uses less digits than its factorization.

212020233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 212020233 is about 14560.9145660566. The cubic root of 212020233 is about 596.2921643464.

Adding to 212020233 its reverse (332020212), we get a palindrome (544040445).

The spelling of 212020233 in words is "two hundred twelve million, twenty thousand, two hundred thirty-three".

Divisors: 1 3 23 69 1307 2351 3921 7053 30061 54073 90183 162219 3072757 9218271 70673411 212020233