Search a number
-
+
314133228 = 22345916433
BaseRepresentation
bin10010101110010…
…100101011101100
3210220002121210000
4102232110223230
51120404230403
651100544300
710533042213
oct2256245354
9726077700
10314133228
11151357a42
1289252090
1350108a66
142da1207a
151c8a17a3
hex12b94aec

314133228 has 60 divisors (see below), whose sum is σ = 835175880. Its totient is φ = 102930048.

The previous prime is 314133223. The next prime is 314133229. The reversal of 314133228 is 822331413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314133221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10900 + ... + 27332.

It is an arithmetic number, because the mean of its divisors is an integer number (13919598).

Almost surely, 2314133228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314133228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417587940).

314133228 is an abundant number, since it is smaller than the sum of its proper divisors (521042652).

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

314133228 is a wasteful number, since it uses less digits than its factorization.

314133228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508 (or 16497 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 314133228 is about 17723.8039934998. The cubic root of 314133228 is about 679.7845540076.

The spelling of 314133228 in words is "three hundred fourteen million, one hundred thirty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1062 1593 2124 3186 4779 6372 9558 16433 19116 32866 49299 65732 98598 147897 197196 295794 443691 591588 887382 969547 1331073 1774764 1939094 2662146 2908641 3878188 5324292 5817282 8725923 11634564 17451846 26177769 34903692 52355538 78533307 104711076 157066614 314133228