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2230423441200 = 243352839246151
BaseRepresentation
bin100000011101001111100…
…110001100111100110000
321220020010001012110222000
4200131033212030330300
5243020401400104300
64424350431014000
7320066654303253
oct40351746147460
97806101173860
102230423441200
1178aa0a981719
1230033036a300
131324358a6756
1479d4b32309a
153d04231ec00
hex2074f98cf30

2230423441200 has 240 divisors, whose sum is σ = 7948149619200. Its totient is φ = 594068256000.

The previous prime is 2230423441193. The next prime is 2230423441231. The reversal of 2230423441200 is 21443240322.

2230423441200 is a `hidden beast` number, since 2 + 2 + 30 + 423 + 4 + 4 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8938125 + ... + 9184275.

It is an arithmetic number, because the mean of its divisors is an integer number (33117290080).

Almost surely, 22230423441200 is an apocalyptic number.

2230423441200 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 2230423441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974074809600).

2230423441200 is an abundant number, since it is smaller than the sum of its proper divisors (5717726178000).

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

2230423441200 is a wasteful number, since it uses less digits than its factorization.

2230423441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247017 (or 247000 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2230423441200 its reverse (21443240322), we get a palindrome (2251866681522).

The spelling of 2230423441200 in words is "two trillion, two hundred thirty billion, four hundred twenty-three million, four hundred forty-one thousand, two hundred".