Search a number
-
+
212322200000 = 265523101457
BaseRepresentation
bin1100010110111101100…
…0111010100111000000
3202022001002200022011012
43011233120322213000
511434313440400000
6241312305340052
721224353631231
oct3055730724700
9668032608135
10212322200000
118205538a469
1235196337628
1317039155391
14a3c2811088
1557ca13b735
hex316f63a9c0

212322200000 has 336 divisors, whose sum is σ = 556176777408. Its totient is φ = 80256000000.

The previous prime is 212322199987. The next prime is 212322200011. The reversal of 212322200000 is 2223212.

212322200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2123222000002 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 464599772 + ... + 464600228.

It is an arithmetic number, because the mean of its divisors is an integer number (1655288028).

Almost surely, 2212322200000 is an apocalyptic number.

212322200000 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 212322200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278088388704).

212322200000 is an abundant number, since it is smaller than the sum of its proper divisors (343854577408).

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

212322200000 is an equidigital number, since it uses as much as digits as its factorization.

212322200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 212322200000 its reverse (2223212), we get a palindrome (212324423212).

The spelling of 212322200000 in words is "two hundred twelve billion, three hundred twenty-two million, two hundred thousand".