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242333120 = 265757291
BaseRepresentation
bin11100111000110…
…11010111000000
3121212222210112202
432130123113000
5444014124440
640014012332
76001540361
oct1634332700
9555883482
10242333120
11114877507
12691a70a8
133b289aa3
1424281b68
151641c615
hexe71b5c0

242333120 has 28 divisors (see below), whose sum is σ = 577056504. Its totient is φ = 96933120.

The previous prime is 242333093. The next prime is 242333131. The reversal of 242333120 is 21333242.

242333120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242333092 and 242333101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 378326 + ... + 378965.

Almost surely, 2242333120 is an apocalyptic number.

242333120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242333120 is an abundant number, since it is smaller than the sum of its proper divisors (334723384).

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

242333120 is an equidigital number, since it uses as much as digits as its factorization.

242333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757308 (or 757298 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 242333120 is about 15567.0523863704. The cubic root of 242333120 is about 623.4537735821.

Adding to 242333120 its reverse (21333242), we get a palindrome (263666362).

The spelling of 242333120 in words is "two hundred forty-two million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 757291 1514582 3029164 3786455 6058328 7572910 12116656 15145820 24233312 30291640 48466624 60583280 121166560 242333120