Search a number
-
+
212299453800 = 2332527431392819
BaseRepresentation
bin1100010110111000001…
…0001001010101101000
3202021222111212200020100
43011232002021111220
511434242130010200
6241310134025400
721223656403620
oct3055602112550
9667874780210
10212299453800
1182043563955
123518a7a8260
131703451cca5
14a3bd7ad880
1557c8146d00
hex316e089568

212299453800 has 576 divisors, whose sum is σ = 840071232000. Its totient is φ = 47039408640.

The previous prime is 212299453753. The next prime is 212299453813. The reversal of 212299453800 is 8354992212.

212299453800 is a `hidden beast` number, since 2 + 1 + 2 + 29 + 94 + 538 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75308791 + ... + 75311609.

It is an arithmetic number, because the mean of its divisors is an integer number (1458457000).

Almost surely, 2212299453800 is an apocalyptic number.

212299453800 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 212299453800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420035616000).

212299453800 is an abundant number, since it is smaller than the sum of its proper divisors (627771778200).

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

212299453800 is a wasteful number, since it uses less digits than its factorization.

212299453800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 212299453800 in words is "two hundred twelve billion, two hundred ninety-nine million, four hundred fifty-three thousand, eight hundred".