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242211141 = 343179433
BaseRepresentation
bin11100110111111…
…01100101000101
3121212202121020000
432123331211011
5444001224031
640011231513
76000521634
oct1633754505
9555677200
10242211141
111147a38a7
1269148599
133b246403
142424d51b
15163e63e6
hexe6fd945

242211141 has 20 divisors (see below), whose sum is σ = 363001452. Its totient is φ = 160947648.

The previous prime is 242211133. The next prime is 242211143. The reversal of 242211141 is 141112242.

It can be written as a sum of positive squares in 2 ways, for example, as 80030916 + 162180225 = 8946^2 + 12735^2 .

It is not a de Polignac number, because 242211141 - 23 = 242211133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242211143) 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, 20961 + ... + 30393.

Almost surely, 2242211141 is an apocalyptic number.

It is an amenable number.

242211141 is a deficient number, since it is larger than the sum of its proper divisors (120790311).

242211141 is an equidigital number, since it uses as much as digits as its factorization.

242211141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9762 (or 9753 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 242211141 is about 15563.1340352771. The cubic root of 242211141 is about 623.3491503385.

Adding to 242211141 its reverse (141112242), we get a palindrome (383323383).

The spelling of 242211141 in words is "two hundred forty-two million, two hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 317 951 2853 8559 9433 25677 28299 84897 254691 764073 2990261 8970783 26912349 80737047 242211141