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2242220343000 = 23353111923891747
BaseRepresentation
bin100000101000001110101…
…111110011111011011000
321221100120012011011221220
4200220032233303323120
5243214031401434000
64434021203332040
7320665211310051
oct40501657637330
97840505134856
102242220343000
11794a13a24640
12302683081020
1313359593aa11
147a749d93728
153d4d2d231a0
hex20a0ebf3ed8

2242220343000 has 1024 divisors, whose sum is σ = 8481687552000. Its totient is φ = 486756864000.

The previous prime is 2242220342987. The next prime is 2242220343043. The reversal of 2242220343000 is 3430222422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1283468127 + ... + 1283469873.

It is an arithmetic number, because the mean of its divisors is an integer number (8282898000).

Almost surely, 22242220343000 is an apocalyptic number.

2242220343000 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 2242220343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240843776000).

2242220343000 is an abundant number, since it is smaller than the sum of its proper divisors (6239467209000).

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

2242220343000 is a wasteful number, since it uses less digits than its factorization.

2242220343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2242220343000 its reverse (3430222422), we get a palindrome (2245650565422).

The spelling of 2242220343000 in words is "two trillion, two hundred forty-two billion, two hundred twenty million, three hundred forty-three thousand".