Search a number
-
+
242164860 = 223574412
BaseRepresentation
bin11100110111100…
…10010001111100
3121212200020201220
432123302101330
5443443233420
640010233340
76000240000
oct1633622174
9555606656
10242164860
11114772053
1269125850
133b22b322
142423a700
15163d7840
hexe6f247c

242164860 has 180 divisors, whose sum is σ = 810788664. Its totient is φ = 54001920.

The previous prime is 242164849. The next prime is 242164919. The reversal of 242164860 is 68461242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5906440 + ... + 5906480.

Almost surely, 2242164860 is an apocalyptic number.

242164860 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 242164860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405394332).

242164860 is an abundant number, since it is smaller than the sum of its proper divisors (568623804).

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

242164860 is an equidigital number, since it uses as much as digits as its factorization.

242164860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 242164860 is about 15561.6470850614. The cubic root of 242164860 is about 623.3094452289.

The spelling of 242164860 in words is "two hundred forty-two million, one hundred sixty-four thousand, eight hundred sixty".