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221132331 = 32731113227
BaseRepresentation
bin11010010111000…
…11011000101011
3120102002200112100
431023203120223
5423102213311
633535344443
75323410450
oct1513433053
9512080470
10221132331
11103906aa2
1262082123
1336a75c44
1421523827
1514630a56
hexd2e362b

221132331 has 24 divisors (see below), whose sum is σ = 376822784. Its totient is φ = 122284080.

The previous prime is 221132291. The next prime is 221132341. The reversal of 221132331 is 133231122.

It is not a de Polignac number, because 221132331 - 26 = 221132267 is a prime.

It is a super-2 number, since 2×2211323312 = 97799015626987122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221132341) 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, 54661 + ... + 58566.

Almost surely, 2221132331 is an apocalyptic number.

221132331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221132331 is a deficient number, since it is larger than the sum of its proper divisors (155690453).

221132331 is a wasteful number, since it uses less digits than its factorization.

221132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113271 (or 113268 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 221132331 is about 14870.5188544314. The cubic root of 221132331 is about 604.7150090924.

Adding to 221132331 its reverse (133231122), we get a palindrome (354363453).

The spelling of 221132331 in words is "two hundred twenty-one million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 113227 339681 792589 1019043 2377767 3510037 7133301 10530111 24570259 31590333 73710777 221132331