Search a number
BaseRepresentation
bin100000001100011010011…
…110111000110011011000
321211111110122110121211120
4200030122132320303120
5242221344212241130
64412201331125240
7315560104435650
oct40143236706330
97744418417746
102212352462040
1178328731a5a6
122b8928443820
13130815a53a86
14791152db360
153c835ae5910
hex2031a7b8cd8

2212352462040 has 384 divisors, whose sum is σ = 8395799247360. Its totient is φ = 455240282112.

The previous prime is 2212352462039. The next prime is 2212352462059. The reversal of 2212352462040 is 402642532122.

Adding to 2212352462040 its reverse (402642532122), we get a palindrome (2614994994162).

It is a junction number, because it is equal to n+sod(n) for n = 2212352461992 and 2212352462010.

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, 7407687 + ... + 7700553.

It is an arithmetic number, because the mean of its divisors is an integer number (21864060540).

Almost surely, 22212352462040 is an apocalyptic number.

2212352462040 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 2212352462040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197899623680).

2212352462040 is an abundant number, since it is smaller than the sum of its proper divisors (6183446785320).

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

2212352462040 is a wasteful number, since it uses less digits than its factorization.

2212352462040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292951 (or 292924 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 2212352462040 in words is "two trillion, two hundred twelve billion, three hundred fifty-two million, four hundred sixty-two thousand, forty".