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12223028440 = 2357231375437
BaseRepresentation
bin10110110001000110…
…01001110011011000
31011112211210011212001
423120203021303120
5200013043402230
65340513530344
7611620012300
oct133043116330
934484704761
1012223028440
1152026431a7
1224515739b4
1311ca42280c
1483d4b6600
154b81280ca
hex2d88c9cd8

12223028440 has 192 divisors, whose sum is σ = 33922679040. Its totient is φ = 3945231360.

The previous prime is 12223028423. The next prime is 12223028443. The reversal of 12223028440 is 4482032221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12223028399 and 12223028408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223028443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2245402 + ... + 2250838.

It is an arithmetic number, because the mean of its divisors is an integer number (176680620).

Almost surely, 212223028440 is an apocalyptic number.

12223028440 is a gapful number since it is divisible by the number (10) 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 12223028440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16961339520).

12223028440 is an abundant number, since it is smaller than the sum of its proper divisors (21699650600).

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

12223028440 is a wasteful number, since it uses less digits than its factorization.

12223028440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 12223028440 in words is "twelve billion, two hundred twenty-three million, twenty-eight thousand, four hundred forty".