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242230131 = 3211131071759
BaseRepresentation
bin11100111000000…
…10001101110011
3121212210120021100
432130002031303
5444002331011
640011455443
76000631203
oct1634021563
9555716240
10242230131
111148070a0
1269157583
133b251c50
1424256403
15163ebd56
hexe702373

242230131 has 48 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 134170560.

The previous prime is 242230097. The next prime is 242230141. The reversal of 242230131 is 131032242.

242230131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242230131 - 26 = 242230067 is a prime.

It is a super-2 number, since 2×2422301312 = 117350872728554322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242230141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136830 + ... + 138588.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2242230131 is an apocalyptic number.

242230131 is a deficient number, since it is larger than the sum of its proper divisors (172904589).

242230131 is a wasteful number, since it uses less digits than its factorization.

242230131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242230131 is about 15563.7441189452. The cubic root of 242230131 is about 623.3654406586.

Adding to 242230131 its reverse (131032242), we get a palindrome (373262373).

The spelling of 242230131 in words is "two hundred forty-two million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 107 117 143 321 429 963 1177 1287 1391 1759 3531 4173 5277 10593 12519 15301 15831 19349 22867 45903 58047 68601 137709 174141 188213 205803 251537 564639 754611 1693917 2070343 2263833 2446769 6211029 7340307 18633087 22020921 26914459 80743377 242230131