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212224044340 = 2257111734791663
BaseRepresentation
bin1100010110100110001…
…0011110110100110100
3202021210020222110220101
43011221202132310310
511434113323404330
6241254441443444
721222052420150
oct3055142366464
9667706873811
10212224044340
1182004a38690
12351694a0584
1317021a091c9
14a3b3780060
1557c16ed4ca
hex316989ed34

212224044340 has 192 divisors, whose sum is σ = 560356392960. Its totient is φ = 65588636160.

The previous prime is 212224044311. The next prime is 212224044343. The reversal of 212224044340 is 43440422212.

212224044340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 212224044299 and 212224044308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212224044343) 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 63 ways as a sum of consecutive naturals, for example, 127614349 + ... + 127616011.

It is an arithmetic number, because the mean of its divisors is an integer number (2918522880).

Almost surely, 2212224044340 is an apocalyptic number.

212224044340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212224044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280178196480).

212224044340 is an abundant number, since it is smaller than the sum of its proper divisors (348132348620).

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

212224044340 is a wasteful number, since it uses less digits than its factorization.

212224044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 212224044340 its reverse (43440422212), we get a palindrome (255664466552).

The spelling of 212224044340 in words is "two hundred twelve billion, two hundred twenty-four million, forty-four thousand, three hundred forty".