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218560230000 = 2432547192312
BaseRepresentation
bin1100101110001100110…
…1000111001001110000
3202220010211122001121100
43023203031013021300
512040102404330000
6244223304124400
721535061205510
oct3134315071160
9686124561540
10218560230000
1184766608762
1236437466700
13177c16323a8
14a8150a1840
155a42ae1a00
hex32e3347270

218560230000 has 1350 divisors, whose sum is σ = 952621307352. Its totient is φ = 45800640000.

The previous prime is 218560229933. The next prime is 218560230037. The reversal of 218560230000 is 32065812.

218560230000 is a `hidden beast` number, since 21 + 8 + 5 + 602 + 30 + 0 + 0 + 0 = 666.

218560230000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 7050329985 + ... + 7050330015.

Almost surely, 2218560230000 is an apocalyptic number.

218560230000 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 218560230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476310653676).

218560230000 is an abundant number, since it is smaller than the sum of its proper divisors (734061077352).

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

218560230000 is a wasteful number, since it uses less digits than its factorization.

218560230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 218560230000 its reverse (32065812), we get a palindrome (218592295812).

The spelling of 218560230000 in words is "two hundred eighteen billion, five hundred sixty million, two hundred thirty thousand".