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221333229 = 3413210193
BaseRepresentation
bin11010011000101…
…00011011101101
3120102110220010000
431030110123231
5423130130404
633543534513
75325205245
oct1514243355
9512426100
10221333229
11103a33a27
126215a439
1336b16510
1421576b25
1514670339
hexd3146ed

221333229 has 20 divisors (see below), whose sum is σ = 356068636. Its totient is φ = 136204416.

The previous prime is 221333219. The next prime is 221333237. The reversal of 221333229 is 922333122.

It can be written as a sum of positive squares in 2 ways, for example, as 33698025 + 187635204 = 5805^2 + 13698^2 .

It is not a de Polignac number, because 221333229 - 25 = 221333197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221333219) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104044 + ... + 106149.

Almost surely, 2221333229 is an apocalyptic number.

It is an amenable number.

221333229 is a deficient number, since it is larger than the sum of its proper divisors (134735407).

221333229 is a wasteful number, since it uses less digits than its factorization.

221333229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210218 (or 210209 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 221333229 is about 14877.2722298142. The cubic root of 221333229 is about 604.8980808667.

The spelling of 221333229 in words is "two hundred twenty-one million, three hundred thirty-three thousand, two hundred twenty-nine".

Divisors: 1 3 9 13 27 39 81 117 351 1053 210193 630579 1891737 2732509 5675211 8197527 17025633 24592581 73777743 221333229