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242830224 = 24347132971
BaseRepresentation
bin11100111100101…
…00101110010000
3121220221001110000
432132110232100
5444131031344
640032410000
76006010560
oct1636245620
9556831400
10242830224
11115086a3a
12693a6900
133b402130
1424370da0
15164b9a69
hexe794b90

242830224 has 400 divisors, whose sum is σ = 907441920. Its totient is φ = 60963840.

The previous prime is 242830219. The next prime is 242830229. The reversal of 242830224 is 422038242.

242830224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242830219) and next prime (242830229).

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

It is not an unprimeable number, because it can be changed into a prime (242830229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3420109 + ... + 3420179.

Almost surely, 2242830224 is an apocalyptic number.

242830224 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 242830224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

242830224 is an abundant number, since it is smaller than the sum of its proper divisors (664611696).

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

242830224 is a wasteful number, since it uses less digits than its factorization.

242830224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242830224 is about 15583.0107488893. The cubic root of 242830224 is about 623.8797845339.

Adding to 242830224 its reverse (422038242), we get a palindrome (664868466).

The spelling of 242830224 in words is "two hundred forty-two million, eight hundred thirty thousand, two hundred twenty-four".