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20533216 = 251125303
BaseRepresentation
bin100111001010…
…0111111100000
31102122012021111
41032110333200
520224030331
62012033104
7336346414
oct116247740
942565244
1020533216
1110654a00
126a62794
13433c042
142a26d44
151c08db1
hex1394fe0

20533216 has 36 divisors (see below), whose sum is σ = 44442216. Its totient is φ = 9331520.

The previous prime is 20533213. The next prime is 20533223. The reversal of 20533216 is 61233502.

It is a super-2 number, since 2×205332162 = 843225918605312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20533213) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1221 + ... + 6523.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506).

Almost surely, 220533216 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 20533216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221108).

20533216 is an abundant number, since it is smaller than the sum of its proper divisors (23909000).

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

20533216 is a wasteful number, since it uses less digits than its factorization.

20533216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 20533216 is about 4531.3591779951. The cubic root of 20533216 is about 273.8329206765.

Adding to 20533216 its reverse (61233502), we get a palindrome (81766718).

The spelling of 20533216 in words is "twenty million, five hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 5303 10606 21212 42424 58333 84848 116666 169696 233332 466664 641663 933328 1283326 1866656 2566652 5133304 10266608 20533216