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242466460 = 22523618641
BaseRepresentation
bin11100111001110…
…11111010011100
3121220020120110021
432130323322130
5444032411320
640020521524
76002634205
oct1634737234
9556216407
10242466460
11114958705
12692502a4
133b3056a2
14242b85ac
1516446daa
hexe73be9c

242466460 has 48 divisors (see below), whose sum is σ = 540090432. Its totient is φ = 91238400.

The previous prime is 242466449. The next prime is 242466463. The reversal of 242466460 is 64664242.

242466460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242466463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23740 + ... + 32380.

It is an arithmetic number, because the mean of its divisors is an integer number (11251884).

Almost surely, 2242466460 is an apocalyptic number.

242466460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242466460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270045216).

242466460 is an abundant number, since it is smaller than the sum of its proper divisors (297623972).

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

242466460 is a wasteful number, since it uses less digits than its factorization.

242466460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8734 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 242466460 is about 15571.3345606599. The cubic root of 242466460 is about 623.5681011705.

The spelling of 242466460 in words is "two hundred forty-two million, four hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 460 610 1220 1403 2806 5612 7015 8641 14030 17282 28060 34564 43205 86410 172820 198743 397486 527101 794972 993715 1054202 1987430 2108404 2635505 3974860 5271010 10542020 12123323 24246646 48493292 60616615 121233230 242466460