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242002124 = 22713679923
BaseRepresentation
bin11100110110010…
…10100011001100
3121212100222111122
432123022203030
5443423031444
640002540112
75665661360
oct1633124314
9555328448
10242002124
11114670861
1269067638
133b1a2230
14241d72a0
15163a44ee
hexe6ca8cc

242002124 has 48 divisors (see below), whose sum is σ = 529068288. Its totient is φ = 94298688.

The previous prime is 242002087. The next prime is 242002141. The reversal of 242002124 is 421200242.

It is a happy number.

242002124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2420021242 = 117130056041022752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19427 + ... + 29349.

It is an arithmetic number, because the mean of its divisors is an integer number (11022256).

Almost surely, 2242002124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242002124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264534144).

242002124 is an abundant number, since it is smaller than the sum of its proper divisors (287066164).

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

242002124 is a wasteful number, since it uses less digits than its factorization.

242002124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10014 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 242002124 is about 15556.4174538999. The cubic root of 242002124 is about 623.1697915842.

Adding to 242002124 its reverse (421200242), we get a palindrome (663202366).

The spelling of 242002124 in words is "two hundred forty-two million, two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 67 91 134 182 268 364 469 871 938 1742 1876 3484 6097 9923 12194 19846 24388 39692 69461 128999 138922 257998 277844 515996 664841 902993 1329682 1805986 2659364 3611972 4653887 8642933 9307774 17285866 18615548 34571732 60500531 121001062 242002124