Search a number
-
+
228221214 = 231373149269
BaseRepresentation
bin11011001101001…
…10000100011110
3120220102211122120
431212212010132
5431411034324
634351323410
75440563654
oct1546460436
9526384576
10228221214
11107908a81
1264520566
1338388750
142244add4
1515081179
hexd9a611e

228221214 has 64 divisors (see below), whose sum is σ = 503496000. Its totient is φ = 68539392.

The previous prime is 228221197. The next prime is 228221261. The reversal of 228221214 is 412122822.

228221214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848272 + ... + 848540.

It is an arithmetic number, because the mean of its divisors is an integer number (7867125).

Almost surely, 2228221214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228221214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251748000).

228221214 is an abundant number, since it is smaller than the sum of its proper divisors (275274786).

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

228221214 is a wasteful number, since it uses less digits than its factorization.

228221214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509.

The product of its digits is 1024, while the sum is 24.

The square root of 228221214 is about 15106.9922221467. The cubic root of 228221214 is about 611.1089868380.

The spelling of 228221214 in words is "two hundred twenty-eight million, two hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 73 78 146 149 219 269 298 438 447 538 807 894 949 1614 1898 1937 2847 3497 3874 5694 5811 6994 10491 10877 11622 19637 20982 21754 32631 39274 40081 58911 65262 80162 117822 120243 141401 240486 255281 282802 424203 510562 521053 765843 848406 1042106 1531686 1563159 2925913 3126318 5851826 8777739 17555478 38036869 76073738 114110607 228221214