Search a number
-
+
228278160 = 2432511193741
BaseRepresentation
bin11011001101100…
…11111110010000
3120220112201202200
431212303332100
5431414400120
634352443200
75441221665
oct1546637620
9526481680
10228278160
11107947840
1264549500
13383a8646
1422463a6c
1515092e90
hexd9b3f90

228278160 has 480 divisors, whose sum is σ = 926190720. Its totient is φ = 49766400.

The previous prime is 228278153. The next prime is 228278161. The reversal of 228278160 is 61872822.

It is a happy number.

228278160 is a `hidden beast` number, since 228 + 278 + 160 = 666.

It is a super-2 number, since 2×2282781602 = 104221836665971200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (228278161) 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, 5567740 + ... + 5567780.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2228278160 is an apocalyptic number.

228278160 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 228278160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

228278160 is an abundant number, since it is smaller than the sum of its proper divisors (697912560).

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

228278160 is a wasteful number, since it uses less digits than its factorization.

228278160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 228278160 is about 15108.8768609715. The cubic root of 228278160 is about 611.1598107991.

The spelling of 228278160 in words is "two hundred twenty-eight million, two hundred seventy-eight thousand, one hundred sixty".