Search a number
-
+
2232126 = 232139539
BaseRepresentation
bin1000100000111100111110
311012101220100
420200330332
51032412001
6115501530
724654441
oct10407476
94171810
102232126
111295036
128b78a6
13601cb0
14421658
152e1586
hex220f3e

2232126 has 24 divisors (see below), whose sum is σ = 5208840. Its totient is φ = 686736.

The previous prime is 2232107. The next prime is 2232133. The reversal of 2232126 is 6212322.

2232126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22321263 = 33363943211339089128, which contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2232099 and 2232108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4536 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (217035).

22232126 is an apocalyptic number.

2232126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2232126 is an abundant number, since it is smaller than the sum of its proper divisors (2976714).

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

2232126 is a wasteful number, since it uses less digits than its factorization.

2232126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560 (or 9557 counting only the distinct ones).

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

The square root of 2232126 is about 1494.0301201783. The cubic root of 2232126 is about 130.6891606538.

Adding to 2232126 its reverse (6212322), we get a palindrome (8444448).

The spelling of 2232126 in words is "two million, two hundred thirty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 9539 19078 28617 57234 85851 124007 171702 248014 372021 744042 1116063 2232126