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200213310 = 235111016007
BaseRepresentation
bin10111110111100…
…00001100111110
3111221201220000210
423323300030332
5402223311220
631511133250
74650533163
oct1373601476
9457656023
10200213310
11a3019250
1257074226
133263041b
141c83a06a
151289c6e0
hexbef033e

200213310 has 64 divisors (see below), whose sum is σ = 529473024. Its totient is φ = 48048000.

The previous prime is 200213281. The next prime is 200213323. The reversal of 200213310 is 13312002.

It is a happy number.

200213310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2002133102 = 80170739002312200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 30327 + ... + 36333.

It is an arithmetic number, because the mean of its divisors is an integer number (8273016).

Almost surely, 2200213310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264736512).

200213310 is an abundant number, since it is smaller than the sum of its proper divisors (329259714).

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

200213310 is a wasteful number, since it uses less digits than its factorization.

200213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 200213310 is about 14149.6752612913. The cubic root of 200213310 is about 585.0113811797.

Adding to 200213310 its reverse (13312002), we get a palindrome (213525312).

The spelling of 200213310 in words is "two hundred million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6007 6666 11110 12014 16665 18021 30035 33330 36042 60070 66077 90105 132154 180210 198231 330385 396462 606707 660770 991155 1213414 1820121 1982310 3033535 3640242 6067070 6673777 9100605 13347554 18201210 20021331 33368885 40042662 66737770 100106655 200213310