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212222313300 = 2235223971092909
BaseRepresentation
bin1100010110100101101…
…1111000001101010100
3202021210010201112100210
43011221123320031110
511434112403011200
6241254340405420
721222031620324
oct3055133701524
9667703645323
10212222313300
1182003a66078
12351689a6870
131702155131a
14a3b344d284
1557c14aa650
hex31696f8354

212222313300 has 288 divisors, whose sum is σ = 653495673600. Its totient is φ = 53064253440.

The previous prime is 212222313293. The next prime is 212222313319. The reversal of 212222313300 is 3313222212.

It is a happy number.

212222313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 72952246 + ... + 72955154.

It is an arithmetic number, because the mean of its divisors is an integer number (2269082200).

Almost surely, 2212222313300 is an apocalyptic number.

212222313300 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 212222313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326747836800).

212222313300 is an abundant number, since it is smaller than the sum of its proper divisors (441273360300).

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

212222313300 is a wasteful number, since it uses less digits than its factorization.

212222313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212222313300 its reverse (3313222212), we get a palindrome (215535535512).

The spelling of 212222313300 in words is "two hundred twelve billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred".