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228130560000 = 211335472341
BaseRepresentation
bin1101010001110110100…
…1000001100000000000
3210210211210220012022000
43110131221001200000
512214202410410000
6252445101344000
722324200523320
oct3243551014000
9723753805260
10228130560000
11888278322a2
1238268568000
13186882c0555
14b082139280
155e02dca000
hex351da41800

228130560000 has 1920 divisors, whose sum is σ = 1031609779200. Its totient is φ = 48660480000.

The previous prime is 228130559983. The next prime is 228130560043. The reversal of 228130560000 is 65031822.

228130560000 is a `hidden beast` number, since 2 + 28 + 1 + 30 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 5564159980 + ... + 5564160020.

It is an arithmetic number, because the mean of its divisors is an integer number (537296760).

Almost surely, 2228130560000 is an apocalyptic number.

228130560000 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 228130560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515804889600).

228130560000 is an abundant number, since it is smaller than the sum of its proper divisors (803479219200).

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

228130560000 is an equidigital number, since it uses as much as digits as its factorization.

228130560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

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

Adding to 228130560000 its reverse (65031822), we get a palindrome (228195591822).

The spelling of 228130560000 in words is "two hundred twenty-eight billion, one hundred thirty million, five hundred sixty thousand".