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BaseRepresentation
bin11011001100010…
…11011101001000
3120220020022010000
431212023131020
5431344042300
634345123000
75436631101
oct1546133510
9526208100
10228112200
11107844088
1264489460
133834ac44
142241d3a8
151505dc00
hexd98b748

228112200 has 120 divisors (see below), whose sum is σ = 792323730. Its totient is φ = 60825600.

The previous prime is 228112189. The next prime is 228112201. The reversal of 228112200 is 2211822.

It is a happy number.

228112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 200675556 + 27436644 = 14166^2 + 5238^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (228112201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9160 + ... + 23240.

Almost surely, 2228112200 is an apocalyptic number.

228112200 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 228112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396161865).

228112200 is an abundant number, since it is smaller than the sum of its proper divisors (564211530).

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

228112200 is a wasteful number, since it uses less digits than its factorization.

228112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14109 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 228112200 is about 15103.3837268342. The cubic root of 228112200 is about 611.0116689126.

The spelling of 228112200 in words is "two hundred twenty-eight million, one hundred twelve thousand, two hundred".