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242295400 = 23521211477
BaseRepresentation
bin11100111000100…
…10001001101000
3121212220212210201
432130102021220
5444011423100
640013121544
76001322404
oct1634221150
9555825721
10242295400
11114851136
12691892b4
133b275879
1424272104
151641136a
hexe712268

242295400 has 24 divisors (see below), whose sum is σ = 563337270. Its totient is φ = 96918080.

The previous prime is 242295397. The next prime is 242295413. The reversal of 242295400 is 4592242.

It can be written as a sum of positive squares in 3 ways, for example, as 227225476 + 15069924 = 15074^2 + 3882^2 .

It is a super-2 number, since 2×2422954002 = 117414121722320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 605539 + ... + 605938.

Almost surely, 2242295400 is an apocalyptic number.

242295400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242295400 is an abundant number, since it is smaller than the sum of its proper divisors (321041870).

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

242295400 is a wasteful number, since it uses less digits than its factorization.

242295400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211493 (or 1211484 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 242295400 is about 15565.8408060728. The cubic root of 242295400 is about 623.4214243148.

The spelling of 242295400 in words is "two hundred forty-two million, two hundred ninety-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1211477 2422954 4845908 6057385 9691816 12114770 24229540 30286925 48459080 60573850 121147700 242295400