Search a number
-
+
242254848 = 21031167107
BaseRepresentation
bin11100111000010…
…00010000000000
3121212211211011210
432130020100000
5444004123343
640012210120
76001063233
oct1634102000
9555754153
10242254848
11114823720
1269169940
133b260284
142426141a
1516404333
hexe708400

242254848 has 176 divisors, whose sum is σ = 721592064. Its totient is φ = 71639040.

The previous prime is 242254847. The next prime is 242254907. The reversal of 242254848 is 848452242.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×2422548482 = 117374822759006208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242254847) 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, 2264011 + ... + 2264117.

Almost surely, 2242254848 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 242254848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360796032).

242254848 is an abundant number, since it is smaller than the sum of its proper divisors (479337216).

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

242254848 is a wasteful number, since it uses less digits than its factorization.

242254848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its digits is 163840, while the sum is 39.

The square root of 242254848 is about 15564.5381556923. The cubic root of 242254848 is about 623.3866425345.

The spelling of 242254848 in words is "two hundred forty-two million, two hundred fifty-four thousand, eight hundred forty-eight".