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2242320300000 = 25335511103733
BaseRepresentation
bin100000101000010100101…
…101000111011111100000
321221100211011020112012000
4200220110231013133200
5243214232444100000
64434035134004000
7321000534032634
oct40502455073740
97840734215160
102242320300000
11794a65396830
123026b0646600
131335b0567a81
147a759372dc4
153d4db9ba000
hex20a14b477e0

2242320300000 has 1152 divisors, whose sum is σ = 9016612899840. Its totient is φ = 537580800000.

The previous prime is 2242320299983. The next prime is 2242320300029. The reversal of 2242320300000 is 30232422.

2242320300000 is a `hidden beast` number, since 2 + 2 + 42 + 320 + 300 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3059099634 + ... + 3059100366.

It is an arithmetic number, because the mean of its divisors is an integer number (7826920920).

Almost surely, 22242320300000 is an apocalyptic number.

2242320300000 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 2242320300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508306449920).

2242320300000 is an abundant number, since it is smaller than the sum of its proper divisors (6774292599840).

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

2242320300000 is a wasteful number, since it uses less digits than its factorization.

2242320300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2242320300000 its reverse (30232422), we get a palindrome (2242350532422).

The spelling of 2242320300000 in words is "two trillion, two hundred forty-two billion, three hundred twenty million, three hundred thousand".