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221076 = 22332389
BaseRepresentation
bin110101111110010100
3102020021000
4311332110
524033301
64423300
71610352
oct657624
9366230
10221076
11141109
12a7b30
137981b
145a7d2
1545786
hex35f94

221076 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 69696.

The previous prime is 221071. The next prime is 221077. The reversal of 221076 is 670122.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221076.

It is not an unprimeable number, because it can be changed into a prime (221071) by changing a digit.

221076 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 15 ways as a sum of consecutive naturals, for example, 2440 + ... + 2528.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2221076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

221076 is an abundant number, since it is smaller than the sum of its proper divisors (383724).

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

221076 is a wasteful number, since it uses less digits than its factorization.

221076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 221076 is about 470.1871967632. The cubic root of 221076 is about 60.4663656592.

Adding to 221076 its reverse (670122), we get a palindrome (891198).

The spelling of 221076 in words is "two hundred twenty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 89 92 108 138 178 207 267 276 356 414 534 621 801 828 1068 1242 1602 2047 2403 2484 3204 4094 4806 6141 8188 9612 12282 18423 24564 36846 55269 73692 110538 221076