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213313436 = 227371091889
BaseRepresentation
bin11001011011011…
…10011110011100
3112212101110000122
430231232132130
5414102012221
633100014112
75200064030
oct1455563634
9485343018
10213313436
11aa4565a6
125b531338
133526908b
142048a1c0
1513ad8eab
hexcb6e79c

213313436 has 48 divisors (see below), whose sum is σ = 442411200. Its totient is φ = 88086528.

The previous prime is 213313427. The next prime is 213313481. The reversal of 213313436 is 634313312.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 111980 + ... + 113868.

It is an arithmetic number, because the mean of its divisors is an integer number (9216900).

Almost surely, 2213313436 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 213313436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221205600).

213313436 is an abundant number, since it is smaller than the sum of its proper divisors (229097764).

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

213313436 is a wasteful number, since it uses less digits than its factorization.

213313436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2044 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

The square root of 213313436 is about 14605.2537122776. The cubic root of 213313436 is about 597.5020556292.

Adding to 213313436 its reverse (634313312), we get a palindrome (847626748).

The spelling of 213313436 in words is "two hundred thirteen million, three hundred thirteen thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 37 74 109 148 218 259 436 518 763 1036 1526 1889 3052 3778 4033 7556 8066 13223 16132 26446 28231 52892 56462 69893 112924 139786 205901 279572 411802 489251 823604 978502 1441307 1957004 2882614 5765228 7618337 15236674 30473348 53328359 106656718 213313436