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131340222 = 232131493767
BaseRepresentation
bin1111101010000…
…01011110111110
3100011010202220200
413311001132332
5232110341342
621011024330
73153242046
oct765013676
9304122820
10131340222
1168157942
1237b9b0a6
1321297810
141362c726
15b7e594c
hex7d417be

131340222 has 48 divisors (see below), whose sum is σ = 308599200. Its totient is φ = 40130496.

The previous prime is 131340169. The next prime is 131340247. The reversal of 131340222 is 222043131.

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 = 131340195 and 131340204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32983 + ... + 36749.

It is an arithmetic number, because the mean of its divisors is an integer number (6429150).

Almost surely, 2131340222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131340222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154299600).

131340222 is an abundant number, since it is smaller than the sum of its proper divisors (177258978).

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

131340222 is a wasteful number, since it uses less digits than its factorization.

131340222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3934 counting only the distinct ones).

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

The square root of 131340222 is about 11460.3761718366. The cubic root of 131340222 is about 508.3145978463.

Adding to 131340222 its reverse (222043131), we get a palindrome (353383353).

The spelling of 131340222 in words is "one hundred thirty-one million, three hundred forty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1341 1937 2682 3767 3874 5811 7534 11301 11622 17433 22602 33903 34866 48971 67806 97942 146913 293826 440739 561283 881478 1122566 1683849 3367698 5051547 7296679 10103094 14593358 21890037 43780074 65670111 131340222