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232221241 = 7217299613
BaseRepresentation
bin11011101011101…
…10101000111001
3121011222001122201
431311312220321
5433422034431
635013150201
75516563600
oct1565665071
9534861581
10232221241
1110a0a028a
126592b361
1339159325
1422baca37
15155c1461
hexdd76a39

232221241 has 24 divisors (see below), whose sum is σ = 295918920. Its totient is φ = 180859392.

The previous prime is 232221233. The next prime is 232221257. The reversal of 232221241 is 142122232.

It can be written as a sum of positive squares in 4 ways, for example, as 145805625 + 86415616 = 12075^2 + 9296^2 .

It is not a de Polignac number, because 232221241 - 23 = 232221233 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232221281) 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 23 ways as a sum of consecutive naturals, for example, 19351 + ... + 28963.

It is an arithmetic number, because the mean of its divisors is an integer number (12329955).

Almost surely, 2232221241 is an apocalyptic number.

It is an amenable number.

232221241 is a deficient number, since it is larger than the sum of its proper divisors (63697679).

232221241 is a wasteful number, since it uses less digits than its factorization.

232221241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9673 (or 9666 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 232221241 is about 15238.8070727337. The cubic root of 232221241 is about 614.6586256241.

Adding to 232221241 its reverse (142122232), we get a palindrome (374343473).

Subtracting from 232221241 its reverse (142122232), we obtain a palindrome (90099009).

The spelling of 232221241 in words is "two hundred thirty-two million, two hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 7 17 29 49 119 203 493 833 1421 3451 9613 24157 67291 163421 278777 471037 1143947 1951439 4739209 8007629 13660073 33174463 232221241