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2422000000 = 27567173
BaseRepresentation
bin1001000001011100…
…1100100110000000
320020210102100101201
42100113030212000
514430013000000
61040155510544
7114006442330
oct22027144600
96223370351
102422000000
1110331794a2
12577158454
132c7a1c4c4
1418d9490c0
15e296e96a
hex905cc980

2422000000 has 224 divisors, whose sum is σ = 6932723760. Its totient is φ = 825600000.

The previous prime is 2421999997. The next prime is 2422000019. The reversal of 2422000000 is 2242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13999914 + ... + 14000086.

Almost surely, 22422000000 is an apocalyptic number.

2422000000 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 2422000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466361880).

2422000000 is an abundant number, since it is smaller than the sum of its proper divisors (4510723760).

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

2422000000 is an frugal number, since it uses more digits than its factorization.

2422000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2422000000 is about 49213.8191974571. The cubic root of 2422000000 is about 1342.9444423618.

Adding to 2422000000 its reverse (2242), we get a palindrome (2422002242).

It can be divided in two parts, 242 and 2000000, that multiplied together give a square (484000000 = 220002).

The spelling of 2422000000 in words is "two billion, four hundred twenty-two million", and thus it is an aban number.