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16213312 = 26614153
BaseRepresentation
bin111101110110…
…010101000000
31010111201111001
4331312111000
513122311222
61335301344
7254545063
oct75662500
933451431
1016213312
119174335
12551a854
13348899b
1422208da
151653e27
hexf76540

16213312 has 28 divisors (see below), whose sum is σ = 32708596. Its totient is φ = 7971840.

The previous prime is 16213277. The next prime is 16213313. The reversal of 16213312 is 21331261.

16213312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 15872256 = 584^2 + 3984^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 16213312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16213313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1828 + ... + 5980.

Almost surely, 216213312 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 16213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354298).

16213312 is an abundant number, since it is smaller than the sum of its proper divisors (16495284).

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

16213312 is an equidigital number, since it uses as much as digits as its factorization.

16213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4216 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 16213312 is about 4026.5757164121. The cubic root of 16213312 is about 253.0990878723.

Adding to 16213312 its reverse (21331261), we get a palindrome (37544573).

The spelling of 16213312 in words is "sixteen million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 4153 8306 16612 33224 66448 132896 253333 265792 506666 1013332 2026664 4053328 8106656 16213312