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221332231 = 1789241607
BaseRepresentation
bin11010011000101…
…00001100000111
3120102110211202001
431030110030013
5423130112411
633543530131
75325202321
oct1514241407
9512424661
10221332231
11103a331aa
1262159947
1336b15c23
1421576611
151466edc1
hexd314307

221332231 has 16 divisors (see below), whose sum is σ = 238360320. Its totient is φ = 204779520.

The previous prime is 221332213. The next prime is 221332249. The reversal of 221332231 is 132233122.

It is an interprime number because it is at equal distance from previous prime (221332213) and next prime (221332249).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221332231 is a prime.

It is a super-2 number, since 2×2213322312 = 97975912958874722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221332199 and 221332208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221332291) 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, 364330 + ... + 364936.

It is an arithmetic number, because the mean of its divisors is an integer number (14897520).

Almost surely, 2221332231 is an apocalyptic number.

221332231 is a deficient number, since it is larger than the sum of its proper divisors (17028089).

221332231 is a wasteful number, since it uses less digits than its factorization.

221332231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954.

The product of its digits is 432, while the sum is 19.

The square root of 221332231 is about 14877.2386886814. The cubic root of 221332231 is about 604.8971716958.

Adding to 221332231 its reverse (132233122), we get a palindrome (353565353).

The spelling of 221332231 in words is "two hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 17 89 241 607 1513 4097 10319 21449 54023 146287 364633 918391 2486879 13019543 221332231