Search a number
-
+
228376200 = 2335213192367
BaseRepresentation
bin11011001110010…
…11111010001000
3120220201201020210
431213023322020
5431431014300
634354521120
75442110553
oct1547137210
9526651223
10228376200
11107a04468
12645961a0
1338411160
142248b69a
15150b2050
hexd9cbe88

228376200 has 384 divisors, whose sum is σ = 849945600. Its totient is φ = 50181120.

The previous prime is 228376171. The next prime is 228376201. The reversal of 228376200 is 2673822.

It is a super-3 number, since 3×2283762003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (228376201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3408567 + ... + 3408633.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2228376200 is an apocalyptic number.

228376200 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 228376200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424972800).

228376200 is an abundant number, since it is smaller than the sum of its proper divisors (621569400).

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

228376200 is a wasteful number, since it uses less digits than its factorization.

228376200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 228376200 is about 15112.1209629886. The cubic root of 228376200 is about 611.2472911084.

The spelling of 228376200 in words is "two hundred twenty-eight million, three hundred seventy-six thousand, two hundred".