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221922 = 23212329
BaseRepresentation
bin110110001011100010
3102021102100
4312023202
524100142
64431230
71613001
oct661342
9367370
10221922
11141808
12a8516
137a01c
145ac38
1545b4c
hex362e2

221922 has 12 divisors (see below), whose sum is σ = 480870. Its totient is φ = 73968.

The previous prime is 221909. The next prime is 221941. The reversal of 221922 is 229122.

221922 is nontrivially palindromic in base 5.

221922 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 221841 + 81 = 471^2 + 9^2 .

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: 12329 = 221922 / (2 + 2 + 1 + 9 + 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 = 221895 and 221904.

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, 6147 + ... + 6182.

2221922 is an apocalyptic number.

221922 is an abundant number, since it is smaller than the sum of its proper divisors (258948).

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

221922 is a wasteful number, since it uses less digits than its factorization.

221922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12337 (or 12334 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 221922 is about 471.0859794135. The cubic root of 221922 is about 60.5433971356.

The spelling of 221922 in words is "two hundred twenty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 12329 24658 36987 73974 110961 221922