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221238 = 23317241
BaseRepresentation
bin110110000000110110
3102020111000
4312000312
524034423
64424130
71611003
oct660066
9366430
10221238
11141246
12a8046
1379914
145a8aa
1545843
hex36036

221238 has 32 divisors (see below), whose sum is σ = 522720. Its totient is φ = 69120.

The previous prime is 221233. The next prime is 221239. The reversal of 221238 is 832122.

It is a happy number.

221238 is nontrivially palindromic in base 8.

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

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 221238.

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 221238.

It is not an unprimeable number, because it can be changed into a prime (221233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (16335).

2221238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261360).

221238 is an abundant number, since it is smaller than the sum of its proper divisors (301482).

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

221238 is a wasteful number, since it uses less digits than its factorization.

221238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 221238 is about 470.3594370266. The cubic root of 221238 is about 60.4811315611.

The spelling of 221238 in words is "two hundred twenty-one thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 241 306 459 482 723 918 1446 2169 4097 4338 6507 8194 12291 13014 24582 36873 73746 110619 221238