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242231112 = 233231710613
BaseRepresentation
bin11100111000000…
…10011101001000
3121212210121121200
432130002131020
5444002343422
640011504200
76000634104
oct1634023510
9555717550
10242231112
11114807902
1269158060
133b252526
1424256904
15163ec2ac
hexe702748

242231112 has 48 divisors (see below), whose sum is σ = 658174140. Its totient is φ = 80481408.

The previous prime is 242231047. The next prime is 242231131. The reversal of 242231112 is 211132242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 239816196 + 2414916 = 15486^2 + 1554^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17518 + ... + 28130.

Almost surely, 2242231112 is an apocalyptic number.

It is an amenable number.

242231112 is an abundant number, since it is smaller than the sum of its proper divisors (415943028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242231112 is a wasteful number, since it uses less digits than its factorization.

242231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10942 (or 10935 counting only the distinct ones).

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

The square root of 242231112 is about 15563.7756344661. The cubic root of 242231112 is about 623.3662821733.

Adding to 242231112 its reverse (211132242), we get a palindrome (453363354).

The spelling of 242231112 in words is "two hundred forty-two million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 317 634 951 1268 1902 2536 2853 3804 5706 7608 10613 11412 21226 22824 31839 42452 63678 84904 95517 127356 191034 254712 382068 764136 3364321 6728642 10092963 13457284 20185926 26914568 30278889 40371852 60557778 80743704 121115556 242231112