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2242112420 = 225112105621
BaseRepresentation
bin1000010110100011…
…1110101110100100
312210020221010000202
42011220332232210
514042440044140
61010252130032
7106363432622
oct20550765644
95706833022
102242112420
11a50683279
12526a66918
13299687852
14173ac0512
15d1c89915
hex85a3eba4

2242112420 has 12 divisors (see below), whose sum is σ = 4708436124. Its totient is φ = 896844960.

The previous prime is 2242112399. The next prime is 2242112491. The reversal of 2242112420 is 242112422.

2242112420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1460462656 + 781649764 = 38216^2 + 27958^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 112105621 = 2242112420 / (2 + 2 + 4 + 2 + 1 + 1 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2242112392 and 2242112401.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56052791 + ... + 56052830.

It is an arithmetic number, because the mean of its divisors is an integer number (392369677).

Almost surely, 22242112420 is an apocalyptic number.

2242112420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242112420 is an abundant number, since it is smaller than the sum of its proper divisors (2466323704).

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

2242112420 is a wasteful number, since it uses less digits than its factorization.

2242112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112105630 (or 112105628 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2242112420 is about 47350.9495152948. The cubic root of 2242112420 is about 1308.8376963926.

Adding to 2242112420 its reverse (242112422), we get a palindrome (2484224842).

The spelling of 2242112420 in words is "two billion, two hundred forty-two million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 112105621 224211242 448422484 560528105 1121056210 2242112420