Search a number
-
+
2212352042000 = 24531106176021
BaseRepresentation
bin100000001100011010011…
…101010010010000010000
321211111110121200021122112
4200030122131102100100
5242221344110321000
64412201314124452
7315560101036232
oct40143235222020
97744417607575
102212352042000
11783287062a61
122b8928280728
13130815937829
147911522c252
153c835a61235
hex2031a752410

2212352042000 has 40 divisors (see below), whose sum is σ = 5349467242392. Its totient is φ = 884940816000.

The previous prime is 2212352041997. The next prime is 2212352042003. The reversal of 2212352042000 is 2402532122.

It is an interprime number because it is at equal distance from previous prime (2212352041997) and next prime (2212352042003).

It can be written as a sum of positive squares in 4 ways, for example, as 396240034576 + 1816112007424 = 629476^2 + 1347632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2212352042003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553086011 + ... + 553090010.

Almost surely, 22212352042000 is an apocalyptic number.

2212352042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212352042000 is an abundant number, since it is smaller than the sum of its proper divisors (3137115200392).

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

2212352042000 is a wasteful number, since it uses less digits than its factorization.

2212352042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106176044 (or 1106176028 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 2212352042000 its reverse (2402532122), we get a palindrome (2214754574122).

The spelling of 2212352042000 in words is "two trillion, two hundred twelve billion, three hundred fifty-two million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1106176021 2212352042 4424704084 5530880105 8849408168 11061760210 17698816336 22123520420 27654400525 44247040840 55308801050 88494081680 110617602100 138272002625 221235204200 276544005250 442470408400 553088010500 1106176021000 2212352042000