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21220416 = 2632719277
BaseRepresentation
bin101000011110…
…0110001000000
31110221002221100
41100330301000
520413023131
62034454400
7345241050
oct120746100
943832840
1021220416
1110a84238
127134400
13451ca79
142b65560
151ce27e6
hex143cc40

21220416 has 168 divisors, whose sum is σ = 73436480. Its totient is φ = 5723136.

The previous prime is 21220393. The next prime is 21220417. The reversal of 21220416 is 61402212.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21220417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76470 + ... + 76746.

Almost surely, 221220416 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 21220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36718240).

21220416 is an abundant number, since it is smaller than the sum of its proper divisors (52216064).

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

21220416 is a wasteful number, since it uses less digits than its factorization.

21220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21220416 is about 4606.5622757106. The cubic root of 21220416 is about 276.8543156912.

Adding to 21220416 its reverse (61402212), we get a palindrome (82622628).

The spelling of 21220416 in words is "twenty-one million, two hundred twenty thousand, four hundred sixteen".