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221132241 = 331119149263
BaseRepresentation
bin11010010111000…
…11010111010001
3120102002200102000
431023203113101
5423102212431
633535344213
75323410261
oct1513432721
9512080360
10221132241
11103906a20
1262082069
1336a75ba5
14215237a1
15146309e6
hexd2e35d1

221132241 has 64 divisors (see below), whose sum is σ = 380160000. Its totient is φ = 125634240.

The previous prime is 221132167. The next prime is 221132251. The reversal of 221132241 is 142231122.

It is a happy number.

It is not a de Polignac number, because 221132241 - 210 = 221131217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221132251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 840676 + ... + 840938.

It is an arithmetic number, because the mean of its divisors is an integer number (5940000).

Almost surely, 2221132241 is an apocalyptic number.

It is an amenable number.

221132241 is a deficient number, since it is larger than the sum of its proper divisors (159027759).

221132241 is a wasteful number, since it uses less digits than its factorization.

221132241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

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

The square root of 221132241 is about 14870.5158283094. The cubic root of 221132241 is about 604.7149270535.

Adding to 221132241 its reverse (142231122), we get a palindrome (363363363).

The spelling of 221132241 in words is "two hundred twenty-one million, one hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 9 11 19 27 33 57 99 149 171 209 263 297 447 513 627 789 1341 1639 1881 2367 2831 2893 4023 4917 4997 5643 7101 8493 8679 14751 14991 25479 26037 31141 39187 44253 44973 54967 76437 78111 93423 117561 134919 164901 280269 352683 431057 494703 744553 840807 1058049 1293171 1484109 2233659 3879513 6700977 8190083 11638539 20102931 24570249 73710747 221132241