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221124 = 22318427
BaseRepresentation
bin110101111111000100
3102020022210
4311333010
524033444
64423420
71610451
oct657704
9366283
10221124
11141152
12a7b70
1379857
145a828
15457b9
hex35fc4

221124 has 12 divisors (see below), whose sum is σ = 515984. Its totient is φ = 73704.

The previous prime is 221101. The next prime is 221159. The reversal of 221124 is 421122.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 18427 = 221124 / (2 + 2 + 1 + 1 + 2 + 4).

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

It is an unprimeable number.

221124 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 9202 + ... + 9225.

2221124 is an apocalyptic number.

It is an amenable number.

221124 is an abundant number, since it is smaller than the sum of its proper divisors (294860).

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

221124 is a wasteful number, since it uses less digits than its factorization.

221124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18434 (or 18432 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 221124 is about 470.2382374924. The cubic root of 221124 is about 60.4707414931.

Adding to 221124 its reverse (421122), we get a palindrome (642246).

The spelling of 221124 in words is "two hundred twenty-one thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 18427 36854 55281 73708 110562 221124