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242210056 = 2311323243
BaseRepresentation
bin11100110111111…
…01010100001000
3121212202112201211
432123331110020
5444001210211
640011222504
76000515524
oct1633752410
9555675654
10242210056
111147a3000
1269147a34
133b245a7a
142424cd84
15163e5e21
hexe6fd508

242210056 has 96 divisors (see below), whose sum is σ = 534330720. Its totient is φ = 102859680.

The previous prime is 242210051. The next prime is 242210057. The reversal of 242210056 is 650012242.

It is a super-2 number, since 2×2422100562 = 117331422455046272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (242210051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5632771 + ... + 5632813.

It is an arithmetic number, because the mean of its divisors is an integer number (5565945).

Almost surely, 2242210056 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 242210056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267165360).

242210056 is an abundant number, since it is smaller than the sum of its proper divisors (292120664).

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

242210056 is a wasteful number, since it uses less digits than its factorization.

242210056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 242210056 is about 15563.0991772205. The cubic root of 242210056 is about 623.3482195599.

Adding to 242210056 its reverse (650012242), we get a palindrome (892222298).

The spelling of 242210056 in words is "two hundred forty-two million, two hundred ten thousand, fifty-six".

Divisors: 1 2 4 8 11 22 23 43 44 46 86 88 92 121 172 184 242 253 344 473 484 506 529 946 968 989 1012 1058 1331 1892 1978 2024 2116 2662 2783 3784 3956 4232 5203 5324 5566 5819 7912 10406 10648 10879 11132 11638 20812 21758 22264 22747 23276 30613 41624 43516 45494 46552 57233 61226 64009 87032 90988 114466 119669 122452 128018 181976 228932 239338 244904 250217 256036 457864 478676 500434 512072 704099 957352 1000868 1316359 1408198 2001736 2632718 2752387 2816396 5265436 5504774 5632792 10530872 11009548 22019096 30276257 60552514 121105028 242210056