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12220416 = 211331317
BaseRepresentation
bin101110100111…
…100000000000
3211222212021000
4232213200000
511112023131
61113532000
7205605015
oct56474000
924885230
1012220416
11699741a
124114000
1326bb420
1418a170c
151115ce6
hexba7800

12220416 has 192 divisors, whose sum is σ = 41277600. Its totient is φ = 3538944.

The previous prime is 12220393. The next prime is 12220421. The reversal of 12220416 is 61402221.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718840 + ... + 718856.

Almost surely, 212220416 is an apocalyptic number.

12220416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

12220416 is an abundant number, since it is smaller than the sum of its proper divisors (29057184).

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

12220416 is a wasteful number, since it uses less digits than its factorization.

12220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

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

The square root of 12220416 is about 3495.7711595584. The cubic root of 12220416 is about 230.3360933868.

Adding to 12220416 its reverse (61402221), we get a palindrome (73622637).

The spelling of 12220416 in words is "twelve million, two hundred twenty thousand, four hundred sixteen".