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2243055214400 = 2652711213196701
BaseRepresentation
bin100000101001000000100…
…000100101111101000000
321221102201101010001012212
4200221000200211331000
5243222234113330100
64434240105441252
7321024666511340
oct40510040457500
97842641101185
102243055214400
11795302212900
123028767a0228
131336998acc70
147a7c8bd8d20
153d531287635
hex20a40825f40

2243055214400 has 1008 divisors, whose sum is σ = 7860849790080. Its totient is φ = 611297280000.

The previous prime is 2243055214391. The next prime is 2243055214403. The reversal of 2243055214400 is 44125503422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243055214403) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 334731050 + ... + 334737750.

Almost surely, 22243055214400 is an apocalyptic number.

2243055214400 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 2243055214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930424895040).

2243055214400 is an abundant number, since it is smaller than the sum of its proper divisors (5617794575680).

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

2243055214400 is a wasteful number, since it uses less digits than its factorization.

2243055214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 2243055214400 in words is "two trillion, two hundred forty-three billion, fifty-five million, two hundred fourteen thousand, four hundred".