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228844000 = 2553711743
BaseRepresentation
bin11011010001111…
…10000111100000
3120221121110221201
431220332013200
5432041002000
634412530544
75446066450
oct1550760740
9527543851
10228844000
111081a3980
1264780a54
1338546068
142256dd60
151515596a
hexda3e1e0

228844000 has 192 divisors, whose sum is σ = 701955072. Its totient is φ = 71232000.

The previous prime is 228843991. The next prime is 228844019. The reversal of 228844000 is 448822.

228844000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 228844000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307629 + ... + 308371.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2228844000 is an apocalyptic number.

228844000 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 228844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536).

228844000 is an abundant number, since it is smaller than the sum of its proper divisors (473111072).

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

228844000 is a wasteful number, since it uses less digits than its factorization.

228844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 228844000 is about 15127.5906872178. The cubic root of 228844000 is about 611.6643609347.

The spelling of 228844000 in words is "two hundred twenty-eight million, eight hundred forty-four thousand".