Search a number
-
+
242234244 = 223272137321
BaseRepresentation
bin11100111000000…
…11001110000100
3121212210202220200
432130003032010
5444002443434
640011530500
76000646200
oct1634031604
9555722820
10242234244
1111480a19a
1269159a30
133b253a95
1424257b00
15163ed199
hexe703384

242234244 has 54 divisors (see below), whose sum is σ = 712289214. Its totient is φ = 69209280.

The previous prime is 242234171. The next prime is 242234263. The reversal of 242234244 is 442432242.

It can be written as a sum of positive squares in only one way, i.e., 235008900 + 7225344 = 15330^2 + 2688^2 .

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 17 ways as a sum of consecutive naturals, for example, 66897 + ... + 70424.

It is an arithmetic number, because the mean of its divisors is an integer number (13190541).

Almost surely, 2242234244 is an apocalyptic number.

It is an amenable number.

242234244 is an abundant number, since it is smaller than the sum of its proper divisors (470054970).

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

242234244 is a wasteful number, since it uses less digits than its factorization.

242234244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137345 (or 137333 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 242234244 is about 15563.8762523993. The cubic root of 242234244 is about 623.3689688290.

Adding to 242234244 its reverse (442432242), we get a palindrome (684666486).

The spelling of 242234244 in words is "two hundred forty-two million, two hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 137321 274642 411963 549284 823926 961247 1235889 1647852 1922494 2471778 2883741 3844988 4943556 5767482 6728729 8651223 11534964 13457458 17302446 20186187 26914916 34604892 40372374 60558561 80744748 121117122 242234244