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212253400000 = 26551995333
BaseRepresentation
bin1100010110101101001…
…0011101101111000000
3202021212022012220022001
43011223102131233000
511434143332300000
6241301410553344
721222560063155
oct3055322355700
9667768186261
10212253400000
118201a568a64
1235177298854
1317027b16b15
14a3b762222c
1557c409b46a
hex316b49dbc0

212253400000 has 168 divisors, whose sum is σ = 529198941600. Its totient is φ = 84458880000.

The previous prime is 212253399979. The next prime is 212253400061. The reversal of 212253400000 is 4352212.

212253400000 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 23 ways as a sum of consecutive naturals, for example, 39797334 + ... + 39802666.

It is an arithmetic number, because the mean of its divisors is an integer number (3149993700).

Almost surely, 2212253400000 is an apocalyptic number.

212253400000 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 212253400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264599470800).

212253400000 is an abundant number, since it is smaller than the sum of its proper divisors (316945541600).

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

212253400000 is an frugal number, since it uses more digits than its factorization.

212253400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 212253400000 its reverse (4352212), we get a palindrome (212257752212).

The spelling of 212253400000 in words is "two hundred twelve billion, two hundred fifty-three million, four hundred thousand".