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242207130 = 235112925309
BaseRepresentation
bin11100110111111…
…00100110011010
3121212202101201110
432123330212122
5444001112010
640011201150
76000504144
oct1633744632
9555671643
10242207130
111147a0890
12691461b6
133b244639
142424bc94
15163e5120
hexe6fc99a

242207130 has 64 divisors (see below), whose sum is σ = 656035200. Its totient is φ = 56689920.

The previous prime is 242207081. The next prime is 242207153. The reversal of 242207130 is 31702242.

It is a junction number, because it is equal to n+sod(n) for n = 242207097 and 242207106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3085 + ... + 22224.

It is an arithmetic number, because the mean of its divisors is an integer number (10250550).

Almost surely, 2242207130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242207130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328017600).

242207130 is an abundant number, since it is smaller than the sum of its proper divisors (413828070).

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

242207130 is a wasteful number, since it uses less digits than its factorization.

242207130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25359.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 242207130 is about 15563.0051725237. The cubic root of 242207130 is about 623.3457094464.

Adding to 242207130 its reverse (31702242), we get a palindrome (273909372).

The spelling of 242207130 in words is "two hundred forty-two million, two hundred seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 25309 50618 75927 126545 151854 253090 278399 379635 556798 733961 759270 835197 1391995 1467922 1670394 2201883 2783990 3669805 4175985 4403766 7339610 8073571 8351970 11009415 16147142 22018830 24220713 40367855 48441426 80735710 121103565 242207130