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221304330 = 232513189149
BaseRepresentation
bin11010011000011…
…01011000001010
3120102102102110200
431030031120022
5423123214310
633543153030
75325025062
oct1514153012
9512372420
10221304330
11103a14245
1262145776
1336b06310
142156a3a2
15146669c0
hexd30d60a

221304330 has 48 divisors (see below), whose sum is σ = 619655400. Its totient is φ = 54474624.

The previous prime is 221304329. The next prime is 221304331. The reversal of 221304330 is 33403122.

It is an interprime number because it is at equal distance from previous prime (221304329) and next prime (221304331).

It can be written as a sum of positive squares in 4 ways, for example, as 129891609 + 91412721 = 11397^2 + 9561^2 .

It is a super-3 number, since 3×2213043303 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (221304331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93405 + ... + 95744.

Almost surely, 2221304330 is an apocalyptic number.

221304330 is an abundant number, since it is smaller than the sum of its proper divisors (398351070).

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

221304330 is a wasteful number, since it uses less digits than its factorization.

221304330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189175 (or 189172 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 221304330 is about 14876.3009515135. The cubic root of 221304330 is about 604.8717529770.

Adding to 221304330 its reverse (33403122), we get a palindrome (254707452).

The spelling of 221304330 in words is "two hundred twenty-one million, three hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 189149 378298 567447 945745 1134894 1702341 1891490 2458937 2837235 3404682 4917874 5674470 7376811 8511705 12294685 14753622 17023410 22130433 24589370 36884055 44260866 73768110 110652165 221304330