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242424100 = 22522424241
BaseRepresentation
bin11100111001100…
…01100100100100
3121220011102100101
432130301210210
5444030032400
640015553444
76002366542
oct1634614444
9556142311
10242424100
111149298a6
126922b884
133b2bc319
14242a6d92
151643956a
hexe731924

242424100 has 18 divisors (see below), whose sum is σ = 526060514. Its totient is φ = 96969600.

The previous prime is 242424089. The next prime is 242424101. The reversal of 242424100 is 1424242.

It can be written as a sum of positive squares in 3 ways, for example, as 6310144 + 236113956 = 2512^2 + 15366^2 .

It is not an unprimeable number, because it can be changed into a prime (242424101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1212021 + ... + 1212220.

Almost surely, 2242424100 is an apocalyptic number.

242424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242424100 is an abundant number, since it is smaller than the sum of its proper divisors (283636414).

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

242424100 is a wasteful number, since it uses less digits than its factorization.

242424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424255 (or 2424248 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 242424100 is about 15569.9743095485. The cubic root of 242424100 is about 623.5317856554.

Adding to 242424100 its reverse (1424242), we get a palindrome (243848342).

The spelling of 242424100 in words is "two hundred forty-two million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2424241 4848482 9696964 12121205 24242410 48484820 60606025 121212050 242424100