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231310220 = 225313491069
BaseRepresentation
bin11011100100110…
…00001110001100
3121010020202222012
431302120032030
5433203411340
634541440352
75506050551
oct1562301614
9533222865
10231310220
11109628879
12655700b8
1338bca76b
1422a12a28
1515491565
hexdc9838c

231310220 has 48 divisors (see below), whose sum is σ = 503328000. Its totient is φ = 89199360.

The previous prime is 231310213. The next prime is 231310229. The reversal of 231310220 is 22013132.

It is a happy number.

It is a super-4 number, since 4×2313102204 (a number of 35 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231310195 and 231310204.

It is not an unprimeable number, because it can be changed into a prime (231310229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215846 + ... + 216914.

It is an arithmetic number, because the mean of its divisors is an integer number (10486000).

Almost surely, 2231310220 is an apocalyptic number.

231310220 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 231310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251664000).

231310220 is an abundant number, since it is smaller than the sum of its proper divisors (272017780).

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

231310220 is a wasteful number, since it uses less digits than its factorization.

231310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1456 counting only the distinct ones).

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

The square root of 231310220 is about 15208.8862182607. The cubic root of 231310220 is about 613.8537885683.

Adding to 231310220 its reverse (22013132), we get a palindrome (253323352).

The spelling of 231310220 in words is "two hundred thirty-one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 349 620 698 1069 1396 1745 2138 3490 4276 5345 6980 10690 10819 21380 21638 33139 43276 54095 66278 108190 132556 165695 216380 331390 373081 662780 746162 1492324 1865405 3730810 7461620 11565511 23131022 46262044 57827555 115655110 231310220