| Base | Representation |
|---|---|
| bin | 11100111001010… |
| … | …10000001100000 |
| 3 | 121220002211221100 |
| 4 | 32130222001200 |
| 5 | 444023040214 |
| 6 | 40015154400 |
| 7 | 6002210445 |
| oct | 1634520140 |
| 9 | 556084840 |
| 10 | 242393184 |
| 11 | 114908650 |
| 12 | 69215a00 |
| 13 | 3b2ab227 |
| 14 | 242999cc |
| 15 | 16430309 |
| hex | e72a060 |
242393184 has 144 divisors (see below), whose sum is σ = 791743680. Its totient is φ = 69569280.
The previous prime is 242393171. The next prime is 242393197. The reversal of 242393184 is 481393242.
It is an interprime number because it is at equal distance from previous prime (242393171) and next prime (242393197).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58179 + ... + 62205.
It is an arithmetic number, because the mean of its divisors is an integer number (5498220).
Almost surely, 2242393184 is an apocalyptic number.
242393184 is a gapful number since it is divisible by the number (24) 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 242393184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395871840).
242393184 is an abundant number, since it is smaller than the sum of its proper divisors (549350496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242393184 is a wasteful number, since it uses less digits than its factorization.
242393184 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4073 (or 4062 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 242393184 is about 15568.9814695760. The cubic root of 242393184 is about 623.5052784885.
The spelling of 242393184 in words is "two hundred forty-two million, three hundred ninety-three thousand, one hundred eighty-four".
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