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200213312 = 2613240641
BaseRepresentation
bin10111110111100…
…00001101000000
3111221201220000212
423323300031000
5402223311222
631511133252
74650533165
oct1373601500
9457656025
10200213312
11a3019252
1257074228
1332630420
141c83a06c
151289c6e2
hexbef0340

200213312 has 28 divisors (see below), whose sum is σ = 427861476. Its totient is φ = 92405760.

The previous prime is 200213281. The next prime is 200213323. The reversal of 200213312 is 213312002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19149376 + 181063936 = 4376^2 + 13456^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 119489 + ... + 121152.

It is an arithmetic number, because the mean of its divisors is an integer number (15280767).

Almost surely, 2200213312 is an apocalyptic number.

It is an amenable number.

200213312 is an abundant number, since it is smaller than the sum of its proper divisors (227648164).

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

200213312 is a wasteful number, since it uses less digits than its factorization.

200213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240666 (or 240656 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 200213312 is about 14149.6753319643. The cubic root of 200213312 is about 585.0113831277.

Adding to 200213312 its reverse (213312002), we get a palindrome (413525314).

The spelling of 200213312 in words is "two hundred million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 240641 481282 962564 1925128 3128333 3850256 6256666 7700512 12513332 15401024 25026664 50053328 100106656 200213312