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212003233 = 1325323669
BaseRepresentation
bin11001010001011…
…10100110100001
3112202220212202121
430220232212201
5413233100413
633011544241
75152666141
oct1450564641
9482825677
10212003233
11a9741192
125abbb081
1334bca900
1420228921
151392ab8d
hexca2e9a1

212003233 has 12 divisors (see below), whose sum is σ = 233906940. Its totient is φ = 191994816.

The previous prime is 212003219. The next prime is 212003261. The reversal of 212003233 is 332300212.

It can be written as a sum of positive squares in 6 ways, for example, as 25735329 + 186267904 = 5073^2 + 13648^2 .

It is not a de Polignac number, because 212003233 - 213 = 211995041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212001233) 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, 2878 + ... + 20791.

It is an arithmetic number, because the mean of its divisors is an integer number (19492245).

Almost surely, 2212003233 is an apocalyptic number.

It is an amenable number.

212003233 is a deficient number, since it is larger than the sum of its proper divisors (21903707).

212003233 is a wasteful number, since it uses less digits than its factorization.

212003233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23748 (or 23735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 212003233 is about 14560.3307998136. The cubic root of 212003233 is about 596.2762268144.

Adding to 212003233 its reverse (332300212), we get a palindrome (544303445).

The spelling of 212003233 in words is "two hundred twelve million, three thousand, two hundred thirty-three".

Divisors: 1 13 53 169 689 8957 23669 307697 1254457 4000061 16307941 212003233