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242533440 = 263553119
BaseRepresentation
bin11100111010011…
…00010001000000
3121220100222100000
432131030101000
5444042032230
640022200000
76003333402
oct1635142100
9556328300
10242533440
111149a3a66
1269283000
133b32a016
14242d4b72
151645bb60
hexe74c440

242533440 has 168 divisors, whose sum is σ = 865388160. Its totient is φ = 64654848.

The previous prime is 242533381. The next prime is 242533451. The reversal of 242533440 is 44335242.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 76201 + ... + 79319.

It is an arithmetic number, because the mean of its divisors is an integer number (5151120).

Almost surely, 2242533440 is an apocalyptic number.

242533440 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 242533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432694080).

242533440 is an abundant number, since it is smaller than the sum of its proper divisors (622854720).

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

242533440 is an equidigital number, since it uses as much as digits as its factorization.

242533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 242533440 is about 15573.4851590773. The cubic root of 242533440 is about 623.6255149479.

Adding to 242533440 its reverse (44335242), we get a palindrome (286868682).

The spelling of 242533440 in words is "two hundred forty-two million, five hundred thirty-three thousand, four hundred forty".