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12225616 = 2413531109
BaseRepresentation
bin101110101000…
…110001010000
3212000010101121
4232220301100
511112204431
61114012024
7205626124
oct56506120
925003347
1012225616
1169a0317
124117014
1326c08c0
1418a3584
151117611
hexba8c50

12225616 has 40 divisors (see below), whose sum is σ = 26013960. Its totient is φ = 5531136.

The previous prime is 12225613. The next prime is 12225641. The reversal of 12225616 is 61652221.

It can be written as a sum of positive squares in 4 ways, for example, as 3600 + 12222016 = 60^2 + 3496^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225611) 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, 10470 + ... + 11578.

It is an arithmetic number, because the mean of its divisors is an integer number (650349).

Almost surely, 212225616 is an apocalyptic number.

12225616 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 12225616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006980).

12225616 is an abundant number, since it is smaller than the sum of its proper divisors (13788344).

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

12225616 is a wasteful number, since it uses less digits than its factorization.

12225616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 12225616 is about 3496.5148362334. The cubic root of 12225616 is about 230.3687594280.

Adding to 12225616 its reverse (61652221), we get a palindrome (73877837).

The spelling of 12225616 in words is "twelve million, two hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1109 1378 2218 2756 4436 5512 8872 11024 14417 17744 28834 57668 58777 115336 117554 230672 235108 470216 764101 940432 1528202 3056404 6112808 12225616