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222240141 = 32613171277
BaseRepresentation
bin11010011111100…
…01110110001101
3120111011222011100
431033301312031
5423343141031
634015213313
75336003304
oct1517616615
9514158140
10222240141
111044a3342
1262517239
1337073256
142173143b
151479dde6
hexd3f1d8d

222240141 has 24 divisors (see below), whose sum is σ = 327561624. Its totient is φ = 145157760.

The previous prime is 222240121. The next prime is 222240173. The reversal of 222240141 is 141042222.

222240141 is a `hidden beast` number, since 2 + 222 + 401 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2340900 + 219899241 = 1530^2 + 14829^2 .

It is not a de Polignac number, because 222240141 - 210 = 222239117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222240121) 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, 173395 + ... + 174671.

It is an arithmetic number, because the mean of its divisors is an integer number (13648401).

Almost surely, 2222240141 is an apocalyptic number.

It is an amenable number.

222240141 is a deficient number, since it is larger than the sum of its proper divisors (105321483).

222240141 is a wasteful number, since it uses less digits than its factorization.

222240141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 222240141 is about 14907.7208519612. The cubic root of 222240141 is about 605.7231441299.

Adding to 222240141 its reverse (141042222), we get a palindrome (363282363).

The spelling of 222240141 in words is "two hundred twenty-two million, two hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 61 183 317 549 951 1277 2853 3831 11493 19337 58011 77897 174033 233691 404809 701073 1214427 3643281 24693349 74080047 222240141