Search a number
-
+
242237226 = 23711796637
BaseRepresentation
bin11100111000000…
…11111100101010
3121212210221000010
432130003330222
5444003042401
640011552350
76000660660
oct1634037452
9555727003
10242237226
11114811460
126915b6b6
133b25524a
1424258c30
15163eded6
hexe703f2a

242237226 has 64 divisors (see below), whose sum is σ = 611758080. Its totient is φ = 62112960.

The previous prime is 242237221. The next prime is 242237231. The reversal of 242237226 is 622732242.

It is a happy number.

242237226 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242237221) and next prime (242237231).

It is a junction number, because it is equal to n+sod(n) for n = 242237193 and 242237202.

It is not an unprimeable number, because it can be changed into a prime (242237221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33180 + ... + 39816.

It is an arithmetic number, because the mean of its divisors is an integer number (9558720).

Almost surely, 2242237226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242237226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305879040).

242237226 is an abundant number, since it is smaller than the sum of its proper divisors (369520854).

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

242237226 is a wasteful number, since it uses less digits than its factorization.

242237226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739.

The product of its digits is 16128, while the sum is 30.

The square root of 242237226 is about 15563.9720508616. The cubic root of 242237226 is about 623.3715267919.

Adding to 242237226 its reverse (622732242), we get a palindrome (864969468).

The spelling of 242237226 in words is "two hundred forty-two million, two hundred thirty-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1659 1738 2607 3318 5214 6083 6637 12166 13274 18249 19911 36498 39822 46459 73007 92918 139377 146014 219021 278754 438042 511049 524323 1022098 1048646 1533147 1572969 3066294 3145938 3670261 5767553 7340522 11010783 11535106 17302659 22021566 34605318 40372871 80745742 121118613 242237226