Search a number
-
+
2231622 = 232123979
BaseRepresentation
bin1000100000110101000110
311012101012200
420200311012
51032402442
6115455330
724653121
oct10406506
94171180
102231622
111294718
128b7546
136019b3
144213b8
152e134c
hex220d46

2231622 has 12 divisors (see below), whose sum is σ = 4835220. Its totient is φ = 743868.

The previous prime is 2231617. The next prime is 2231623. The reversal of 2231622 is 2261322.

It is a super-3 number, since 3×22316223 = 33341348208843761544, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 123979 = 2231622 / (2 + 2 + 3 + 1 + 6 + 2 + 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 2231595 and 2231604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61972 + ... + 62007.

It is an arithmetic number, because the mean of its divisors is an integer number (402935).

22231622 is an apocalyptic number.

2231622 is an abundant number, since it is smaller than the sum of its proper divisors (2603598).

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

2231622 is a wasteful number, since it uses less digits than its factorization.

2231622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123987 (or 123984 counting only the distinct ones).

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

The square root of 2231622 is about 1493.8614393577. The cubic root of 2231622 is about 130.6793236502.

Adding to 2231622 its reverse (2261322), we get a palindrome (4492944).

The spelling of 2231622 in words is "two million, two hundred thirty-one thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 18 123979 247958 371937 743874 1115811 2231622