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228444300 = 22355271779
BaseRepresentation
bin11011001110111…
…00100010001100
3120220212011200000
431213130202030
5431440204200
634400204300
75442513240
oct1547344214
9526764600
10228444300
11107a50647
1264609690
1338436156
14224a8420
15150c7300
hexd9dc88c

228444300 has 432 divisors, whose sum is σ = 909941760. Its totient is φ = 48522240.

The previous prime is 228444269. The next prime is 228444311. The reversal of 228444300 is 3444822.

It is a happy number.

228444300 is a `hidden beast` number, since 228 + 4 + 4 + 430 + 0 = 666.

228444300 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2891661 + ... + 2891739.

Almost surely, 2228444300 is an apocalyptic number.

228444300 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 228444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

228444300 is an abundant number, since it is smaller than the sum of its proper divisors (681497460).

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

228444300 is a wasteful number, since it uses less digits than its factorization.

228444300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 228444300 is about 15114.3739532936. The cubic root of 228444300 is about 611.3080414605.

The spelling of 228444300 in words is "two hundred twenty-eight million, four hundred forty-four thousand, three hundred".