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2242032000000 = 210356133593
BaseRepresentation
bin100000101000000011100…
…001010101110000000000
321221100002001202100221020
4200220003201111300000
5243213140143000000
64433550354425440
7320660433363102
oct40500341256000
97840061670836
102242032000000
11794927683771
1230262bb92280
13133565905560
147a72cd67572
153d4c151cba0
hex20a03855c00

2242032000000 has 616 divisors, whose sum is σ = 8046526065648. Its totient is φ = 551731200000.

The previous prime is 2242031999969. The next prime is 2242032000001. The reversal of 2242032000000 is 2302422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242032000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 623998204 + ... + 624001796.

Almost surely, 22242032000000 is an apocalyptic number.

2242032000000 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 2242032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023263032824).

2242032000000 is an abundant number, since it is smaller than the sum of its proper divisors (5804494065648).

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

2242032000000 is an frugal number, since it uses more digits than its factorization.

2242032000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 2242032000000 its reverse (2302422), we get a palindrome (2242034302422).

The spelling of 2242032000000 in words is "two trillion, two hundred forty-two billion, thirty-two million", and thus it is an aban number.