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212233213280 = 255111923327239
BaseRepresentation
bin1100010110101000010…
…1011101010101100000
3202021210220020022022202
43011222011131111200
511434123200311110
6241255410152332
721222223355564
oct3055205352540
9667726208282
10212233213280
118200a130420
12351705826a8
131702389970a
14a3b4a896a4
1557c24100a5
hex316a15d560

212233213280 has 192 divisors, whose sum is σ = 578263795200. Its totient is φ = 72797368320.

The previous prime is 212233213279. The next prime is 212233213397. The reversal of 212233213280 is 82312332212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7777901 + ... + 7805139.

It is an arithmetic number, because the mean of its divisors is an integer number (3011790600).

Almost surely, 2212233213280 is an apocalyptic number.

212233213280 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 212233213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289131897600).

212233213280 is an abundant number, since it is smaller than the sum of its proper divisors (366030581920).

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

212233213280 is a wasteful number, since it uses less digits than its factorization.

212233213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27517 (or 27509 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 212233213280 its reverse (82312332212), we get a palindrome (294545545492).

It can be divided in two parts, 2122332132 and 80, that added together give a palindrome (2122332212).

The spelling of 212233213280 in words is "two hundred twelve billion, two hundred thirty-three million, two hundred thirteen thousand, two hundred eighty".