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221142231 = 343078893
BaseRepresentation
bin11010010111001…
…01110011010111
3120102010012010000
431023211303113
5423103022411
633535502343
75323451352
oct1513456327
9512105100
10221142231
11103913482
12620879b3
1336a7a5bb
1421527299
1514633956
hexd2e5cd7

221142231 has 20 divisors (see below), whose sum is σ = 331461592. Its totient is φ = 146931408.

The previous prime is 221142199. The next prime is 221142253. The reversal of 221142231 is 132241122.

It is a happy number.

221142231 is a `hidden beast` number, since 2 + 211 + 422 + 31 = 666.

It is not a de Polignac number, because 221142231 - 25 = 221142199 is a prime.

It is a super-2 number, since 2×2211422312 = 97807772663314722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221142431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20421 + ... + 29313.

Almost surely, 2221142231 is an apocalyptic number.

221142231 is a deficient number, since it is larger than the sum of its proper divisors (110319361).

221142231 is an equidigital number, since it uses as much as digits as its factorization.

221142231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9203 counting only the distinct ones).

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

The square root of 221142231 is about 14870.8517240944. The cubic root of 221142231 is about 604.7240332353.

Adding to 221142231 its reverse (132241122), we get a palindrome (353383353).

The spelling of 221142231 in words is "two hundred twenty-one million, one hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 27 81 307 921 2763 8289 8893 24867 26679 80037 240111 720333 2730151 8190453 24571359 73714077 221142231