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2242022220 = 2233517283863
BaseRepresentation
bin1000010110100010…
…1000101101001100
312210020202112022000
42011220220231030
514042424202340
61010250152300
7106362605634
oct20550505514
95706675260
102242022220
11a50621529
12526a22690
13299655789
14173a996c4
15d1c6cd30
hex85a28b4c

2242022220 has 192 divisors, whose sum is σ = 7420170240. Its totient is φ = 560065536.

The previous prime is 2242022213. The next prime is 2242022231. The reversal of 2242022220 is 222202422.

It is a happy number.

2242022220 is a `hidden beast` number, since 2 + 2 + 420 + 22 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2242022193 and 2242022202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2597509 + ... + 2598371.

It is an arithmetic number, because the mean of its divisors is an integer number (38646720).

Almost surely, 22242022220 is an apocalyptic number.

2242022220 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 2242022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710085120).

2242022220 is an abundant number, since it is smaller than the sum of its proper divisors (5178148020).

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

2242022220 is a wasteful number, since it uses less digits than its factorization.

2242022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2242022220 is about 47349.9970432945. The cubic root of 2242022220 is about 1308.8201446793.

Adding to 2242022220 its reverse (222202422), we get a palindrome (2464224642).

The spelling of 2242022220 in words is "two billion, two hundred forty-two million, twenty-two thousand, two hundred twenty".