Search a number
-
+
228297960 = 233351121747
BaseRepresentation
bin11011001101110…
…00110011101000
3120220120201221000
431212320303220
5431421013320
634353115000
75441333502
oct1546706350
9526521830
10228297960
11107960700
1264558a60
13383b4667
142246ad72
1515098c90
hexd9b8ce8

228297960 has 192 divisors, whose sum is σ = 836942400. Its totient is φ = 55313280.

The previous prime is 228297911. The next prime is 228297961. The reversal of 228297960 is 69792822.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (228297961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129807 + ... + 131553.

It is an arithmetic number, because the mean of its divisors is an integer number (4359075).

Almost surely, 2228297960 is an apocalyptic number.

228297960 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 228297960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418471200).

228297960 is an abundant number, since it is smaller than the sum of its proper divisors (608644440).

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

228297960 is a wasteful number, since it uses less digits than its factorization.

228297960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 228297960 is about 15109.5320907035. The cubic root of 228297960 is about 611.1774801992.

The spelling of 228297960 in words is "two hundred twenty-eight million, two hundred ninety-seven thousand, nine hundred sixty".