Search a number
-
+
21301216 = 2531109197
BaseRepresentation
bin101000101000…
…0011111100000
31111002012202221
41101100133200
520423114331
62040320424
7346025446
oct121203740
944065687
1021301216
1111029a12
127173114
13454a791
142b86b96
151d0b711
hex14507e0

21301216 has 48 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 10160640.

The previous prime is 21301201. The next prime is 21301219. The reversal of 21301216 is 61210312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 21301216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108030 + ... + 108226.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 221301216 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 21301216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

21301216 is an abundant number, since it is smaller than the sum of its proper divisors (22607264).

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

21301216 is a wasteful number, since it uses less digits than its factorization.

21301216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 21301216 is about 4615.3240406281. The cubic root of 21301216 is about 277.2052591164.

Adding to 21301216 its reverse (61210312), we get a palindrome (82511528).

The spelling of 21301216 in words is "twenty-one million, three hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 109 124 197 218 248 394 436 496 788 872 992 1576 1744 3152 3379 3488 6107 6304 6758 12214 13516 21473 24428 27032 42946 48856 54064 85892 97712 108128 171784 195424 343568 665663 687136 1331326 2662652 5325304 10650608 21301216