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12338228220 = 22354367137521
BaseRepresentation
bin10110111110110101…
…00110101111111100
31011211212112221020120
423133122212233330
5200232041300340
65400151014540
7614516131563
oct133732465774
934755487216
1012338228220
11526167652a
12248406a450
131218258876
14850902bda
154c32d14d0
hex2df6a6bfc

12338228220 has 192 divisors, whose sum is σ = 36209327616. Its totient is φ = 3136573440.

The previous prime is 12338228207. The next prime is 12338228239. The reversal of 12338228220 is 2282283321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23681560 + ... + 23682080.

It is an arithmetic number, because the mean of its divisors is an integer number (188590248).

Almost surely, 212338228220 is an apocalyptic number.

12338228220 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 12338228220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18104663808).

12338228220 is an abundant number, since it is smaller than the sum of its proper divisors (23871099396).

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

12338228220 is a wasteful number, since it uses less digits than its factorization.

12338228220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 12338228220 in words is "twelve billion, three hundred thirty-eight million, two hundred twenty-eight thousand, two hundred twenty".