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242300000 = 25552423
BaseRepresentation
bin11100111000100…
…11010001100000
3121212221010010002
432130103101200
5444012100000
640013155132
76001341665
oct1634232140
9555833102
10242300000
11114854638
126918baa8
133b2779a7
1424273a6c
15164128d5
hexe713460

242300000 has 72 divisors (see below), whose sum is σ = 596493072. Its totient is φ = 96880000.

The previous prime is 242299979. The next prime is 242300039. The reversal of 242300000 is 3242.

242300000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98789 + ... + 101211.

It is an arithmetic number, because the mean of its divisors is an integer number (8284626).

Almost surely, 2242300000 is an apocalyptic number.

242300000 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 242300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298246536).

242300000 is an abundant number, since it is smaller than the sum of its proper divisors (354193072).

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

242300000 is an frugal number, since it uses more digits than its factorization.

242300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 242300000 is about 15565.9885648166. The cubic root of 242300000 is about 623.4253695271.

Adding to 242300000 its reverse (3242), we get a palindrome (242303242).

The spelling of 242300000 in words is "two hundred forty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2423 2500 3125 4000 4846 5000 6250 9692 10000 12115 12500 19384 20000 24230 25000 38768 48460 50000 60575 77536 96920 100000 121150 193840 242300 302875 387680 484600 605750 969200 1211500 1514375 1938400 2423000 3028750 4846000 6057500 7571875 9692000 12115000 15143750 24230000 30287500 48460000 60575000 121150000 242300000