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242240162900 = 22522422401629
BaseRepresentation
bin1110000110011010100…
…0111000110001010100
3212011021010121021210012
43201212220320301110
512432101440203100
6303141131215352
723333636260661
oct3414650706124
9764233537705
10242240162900
119380829083a
123ab458a7558
1319ac6525ac8
14ba1ddc2a68
15647b95d135
hex3866a38c54

242240162900 has 18 divisors (see below), whose sum is σ = 525661153710. Its totient is φ = 96896065120.

The previous prime is 242240162891. The next prime is 242240162911. The reversal of 242240162900 is 9261042242.

It can be written as a sum of positive squares in 3 ways, for example, as 290293444 + 241949869456 = 17038^2 + 491884^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1211200715 + ... + 1211200914.

Almost surely, 2242240162900 is an apocalyptic number.

242240162900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242240162900 is an abundant number, since it is smaller than the sum of its proper divisors (283420990810).

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

242240162900 is a wasteful number, since it uses less digits than its factorization.

242240162900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422401643 (or 2422401636 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 242240162900 in words is "two hundred forty-two billion, two hundred forty million, one hundred sixty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2422401629 4844803258 9689606516 12112008145 24224016290 48448032580 60560040725 121120081450 242240162900