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200005424 = 2423372397
BaseRepresentation
bin10111110101111…
…01011100110000
3111221100022212022
423322331130300
5402200133144
631502451012
74646006123
oct1372753460
9457308768
10200005424
11a2997043
1256b93a68
1332589908
141c7c43ba
151285acee
hexbebd730

200005424 has 60 divisors (see below), whose sum is σ = 416629584. Its totient is φ = 92835072.

The previous prime is 200005417. The next prime is 200005511. The reversal of 200005424 is 424500002.

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 11 ways as a sum of consecutive naturals, for example, 503594 + ... + 503990.

Almost surely, 2200005424 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 200005424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208314792).

200005424 is an abundant number, since it is smaller than the sum of its proper divisors (216624160).

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

200005424 is a wasteful number, since it uses less digits than its factorization.

200005424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 200005424 is about 14142.3273897898. The cubic root of 200005424 is about 584.8088342189.

Adding to 200005424 its reverse (424500002), we get a palindrome (624505426).

The spelling of 200005424 in words is "two hundred million, five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 397 592 794 851 1369 1588 1702 2738 3176 3404 5476 6352 6808 9131 10952 13616 14689 18262 21904 29378 31487 36524 58756 62974 73048 117512 125948 146096 235024 251896 337847 503792 543493 675694 1086986 1351388 2173972 2702776 4347944 5405552 8695888 12500339 25000678 50001356 100002712 200005424