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228828243000 = 23353771167919
BaseRepresentation
bin1101010100011100111…
…0011110010000111000
3210212122102201011110010
43111013032132100320
512222120012234000
6253042223221520
722350401654460
oct3250716362070
9725572634403
10228828243000
1189055639915
12384221478a0
13187699cb126
14b10aa6cba0
155e44290d50
hex354739e438

228828243000 has 512 divisors, whose sum is σ = 833288601600. Its totient is φ = 51202368000.

The previous prime is 228828242983. The next prime is 228828243013. The reversal of 228828243000 is 342828822.

228828243000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 228828243000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 248996541 + ... + 248997459.

It is an arithmetic number, because the mean of its divisors is an integer number (1627516800).

Almost surely, 2228828243000 is an apocalyptic number.

228828243000 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 228828243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416644300800).

228828243000 is an abundant number, since it is smaller than the sum of its proper divisors (604460358600).

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

228828243000 is a wasteful number, since it uses less digits than its factorization.

228828243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 228828243000 in words is "two hundred twenty-eight billion, eight hundred twenty-eight million, two hundred forty-three thousand".