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231220026 = 23217532269
BaseRepresentation
bin11011100100000…
…10001100111010
3121010002012020200
431302002030322
5433143020101
634535503030
75505223602
oct1562021472
9533065220
10231220026
11109577034
1265527a76
1338b986ab
14229cbc02
1515474986
hexdc8233a

231220026 has 72 divisors (see below), whose sum is σ = 542653020. Its totient is φ = 70906368.

The previous prime is 231220021. The next prime is 231220027. The reversal of 231220026 is 620022132.

It can be written as a sum of positive squares in 6 ways, for example, as 141633801 + 89586225 = 11901^2 + 9465^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231219990 and 231220008.

It is not an unprimeable number, because it can be changed into a prime (231220021) 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 35 ways as a sum of consecutive naturals, for example, 859420 + ... + 859688.

Almost surely, 2231220026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231220026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271326510).

231220026 is an abundant number, since it is smaller than the sum of its proper divisors (311432994).

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

231220026 is a wasteful number, since it uses less digits than its factorization.

231220026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231220026 is about 15205.9207547587. The cubic root of 231220026 is about 613.7739922290.

Adding to 231220026 its reverse (620022132), we get a palindrome (851242158).

The spelling of 231220026 in words is "two hundred thirty-one million, two hundred twenty thousand, twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 269 306 318 477 538 807 901 954 1614 1802 2421 2703 2809 4573 4842 5406 5618 8109 8427 9146 13719 14257 16218 16854 25281 27438 28514 41157 42771 47753 50562 82314 85542 95506 128313 143259 242369 256626 286518 429777 484738 727107 755621 859554 1454214 1511242 2181321 2266863 4362642 4533726 6800589 12845557 13601178 25691114 38536671 77073342 115610013 231220026