Search a number
62226 = 2323457
BaseRepresentation
bin1111001100010010
310011100200
433030102
53442401
61200030
7346263
oct171422
9104320
1062226
114282a
1230016
1322428
141896a
1513686
hexf312

62226 has 12 divisors (see below), whose sum is σ = 134862. Its totient is φ = 20736.

The previous prime is 62219. The next prime is 62233.

62226 is nontrivially palindromic in base 10.

62226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (62219) and next prime (62233).

It can be written as a sum of positive squares in only one way, i.e., 62001 + 225 = 249^2 + 15^2 .

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: 3457 = 62226 / (6 + 2 + 2 + 2 + 6).

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 = 62199 and 62208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1711 + ... + 1746.

262226 is an apocalyptic number.

62226 is an abundant number, since it is smaller than the sum of its proper divisors (72636).

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

62226 is a wasteful number, since it uses less digits than its factorization.

62226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3462 counting only the distinct ones).

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

The square root of 62226 is about 249.4513980718. The cubic root of 62226 is about 39.6269482932.

The spelling of 62226 in words is "sixty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 3457 6914 10371 20742 31113 62226