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212233332340 = 22541258821137
BaseRepresentation
bin1100010110101000010…
…1111010011001110100
3202021210220110100122101
43011222011322121310
511434123213113330
6241255412511444
721222224362651
oct3055205723164
9667726410571
10212233332340
118200a201917
123517061b584
131702390b973
14a3b4abac28
1557c24354ca
hex316a17a674

212233332340 has 24 divisors (see below), whose sum is σ = 456560487432. Its totient is φ = 82822763520.

The previous prime is 212233332323. The next prime is 212233332349. The reversal of 212233332340 is 43233332212.

212233332340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2023920144 + 210209412196 = 44988^2 + 458486^2 .

It is a super-2 number, since 2×2122333323402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212233332299 and 212233332308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212233332349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129409749 + ... + 129411388.

It is an arithmetic number, because the mean of its divisors is an integer number (19023353643).

Almost surely, 2212233332340 is an apocalyptic number.

212233332340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212233332340 is an abundant number, since it is smaller than the sum of its proper divisors (244327155092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212233332340 is a wasteful number, since it uses less digits than its factorization.

212233332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258821187 (or 258821185 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 212233332340 its reverse (43233332212), we get a palindrome (255466664552).

The spelling of 212233332340 in words is "two hundred twelve billion, two hundred thirty-three million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 258821137 517642274 1035284548 1294105685 2588211370 5176422740 10611666617 21223333234 42446666468 53058333085 106116666170 212233332340