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200442424 = 237132311971
BaseRepresentation
bin10111111001010…
…00001000111000
3111222011112022111
423330220020320
5402303124144
631520102104
74652506150
oct1374501070
9458145274
10200442424
11a31653a6
1257164934
13326b07b0
141c899760
15128e5534
hexbf28238

200442424 has 64 divisors (see below), whose sum is σ = 482711040. Its totient is φ = 75841920.

The previous prime is 200442421. The next prime is 200442433. The reversal of 200442424 is 424244002.

It is a junction number, because it is equal to n+sod(n) for n = 200442395 and 200442404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200442421) 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 15 ways as a sum of consecutive naturals, for example, 10759 + ... + 22729.

It is an arithmetic number, because the mean of its divisors is an integer number (7542360).

Almost surely, 2200442424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241355520).

200442424 is an abundant number, since it is smaller than the sum of its proper divisors (282268616).

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

200442424 is a wasteful number, since it uses less digits than its factorization.

200442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 200442424 is about 14157.7690332905. The cubic root of 200442424 is about 585.2344486050.

Adding to 200442424 its reverse (424244002), we get a palindrome (624686426).

The spelling of 200442424 in words is "two hundred million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 364 598 644 728 1196 1288 2093 2392 4186 8372 11971 16744 23942 47884 83797 95768 155623 167594 275333 311246 335188 550666 622492 670376 1089361 1101332 1244984 1927331 2178722 2202664 3579329 3854662 4357444 7158658 7709324 8714888 14317316 15418648 25055303 28634632 50110606 100221212 200442424