Search a number
-
+
229283280 = 243252979139
BaseRepresentation
bin11011010101010…
…01010111010000
3120222102210112100
431222221113100
5432144031110
634430200400
75452606242
oct1552512720
9528383470
10229283280
11108473a16
1264953100
133866aca5
1422646092
15151e0bc0
hexdaa95d0

229283280 has 240 divisors, whose sum is σ = 812448000. Its totient is φ = 57867264.

The previous prime is 229283237. The next prime is 229283281. The reversal of 229283280 is 82382922.

229283280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229283281) 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, 1649451 + ... + 1649589.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2229283280 is an apocalyptic number.

229283280 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 229283280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224000).

229283280 is an abundant number, since it is smaller than the sum of its proper divisors (583164720).

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

229283280 is a wasteful number, since it uses less digits than its factorization.

229283280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 229283280 is about 15142.1028922670. The cubic root of 229283280 is about 612.0554864469.

The spelling of 229283280 in words is "two hundred twenty-nine million, two hundred eighty-three thousand, two hundred eighty".