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2000240442 = 232731522253
BaseRepresentation
bin111011100111001…
…0011111100111010
312011101210202001100
41313032103330322
513044030143232
6530252032230
7100365522534
oct16716237472
95141722040
102000240442
119370a1282
12479a62676
1325b52c935
1414d91c854
15ba90dc7c
hex77393f3a

2000240442 has 24 divisors (see below), whose sum is σ = 4393225044. Its totient is φ = 657612864.

The previous prime is 2000240401. The next prime is 2000240449. The reversal of 2000240442 is 2440420002.

2000240442 is a `hidden beast` number, since 200 + 0 + 24 + 0 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1997285481 + 2954961 = 44691^2 + 1719^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2000240449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759813 + ... + 762440.

Almost surely, 22000240442 is an apocalyptic number.

2000240442 is an abundant number, since it is smaller than the sum of its proper divisors (2392984602).

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

2000240442 is a wasteful number, since it uses less digits than its factorization.

2000240442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522334 (or 1522331 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2000240442 is about 44724.0476924887. The cubic root of 2000240442 is about 1259.9715375279.

Adding to 2000240442 its reverse (2440420002), we get a palindrome (4440660444).

The spelling of 2000240442 in words is "two billion, two hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 1522253 3044506 4566759 9133518 13700277 27400554 111124469 222248938 333373407 666746814 1000120221 2000240442