[go: up one dir, main page]

Search a number
-
+
310231220 = 225139712301
BaseRepresentation
bin10010011111011…
…100000010110100
3210121202101020012
4102133130002310
51113404344340
650441155352
710454631125
oct2237340264
9717671205
10310231220
1114a132342
1287a8bb58
134c370990
142d2b804c
151c380565
hex127dc0b4

310231220 has 48 divisors (see below), whose sum is σ = 708890448. Its totient is φ = 113356800.

The previous prime is 310231213. The next prime is 310231223. The reversal of 310231220 is 22132013.

It is a happy number.

310231220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 39891856 + 270339364 = 6316^2 + 16442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 310231195 and 310231204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310231223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19070 + ... + 31370.

It is an arithmetic number, because the mean of its divisors is an integer number (14768551).

Almost surely, 2310231220 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 310231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354445224).

310231220 is an abundant number, since it is smaller than the sum of its proper divisors (398659228).

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

310231220 is a wasteful number, since it uses less digits than its factorization.

310231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12420 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 310231220 is about 17613.3818444954. The cubic root of 310231220 is about 676.9581693836.

Adding to 310231220 its reverse (22132013), we get a palindrome (332363233).

The spelling of 310231220 in words is "three hundred ten million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 5044 6305 12301 12610 24602 25220 49204 61505 123010 159913 246020 319826 639652 799565 1193197 1599130 2386394 3198260 4772788 5965985 11931970 15511561 23863940 31023122 62046244 77557805 155115610 310231220