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242300160 = 283551941
BaseRepresentation
bin11100111000100…
…11010100000000
3121212221010100000
432130103110000
5444012101120
640013200000
76001342314
oct1634232400
9555833300
10242300160
11114854773
1269190000
133b277a9b
1424273b44
1516412990
hexe713500

242300160 has 432 divisors, whose sum is σ = 937460160. Its totient is φ = 59719680.

The previous prime is 242300129. The next prime is 242300171. The reversal of 242300160 is 61003242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 5909740 + ... + 5909780.

Almost surely, 2242300160 is an apocalyptic number.

242300160 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 242300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468730080).

242300160 is an abundant number, since it is smaller than the sum of its proper divisors (695160000).

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

242300160 is an equidigital number, since it uses as much as digits as its factorization.

242300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242300160 is about 15565.9937042259. The cubic root of 242300160 is about 623.4255067510.

The spelling of 242300160 in words is "two hundred forty-two million, three hundred thousand, one hundred sixty".