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12302794224 = 2432737595591
BaseRepresentation
bin10110111010100110…
…11011110111110000
31011202101212200221100
423131103123313300
5200144003403344
65352443324400
7613606011510
oct133523336760
934671780840
1012302794224
115243674436
122474220700
131210b003c6
14849d1b840
154c0132569
hex2dd4dbdf0

12302794224 has 240 divisors, whose sum is σ = 41105226240. Its totient is φ = 3361512960.

The previous prime is 12302794219. The next prime is 12302794237. The reversal of 12302794224 is 42249720321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2197669 + ... + 2203259.

It is an arithmetic number, because the mean of its divisors is an integer number (171271776).

Almost surely, 212302794224 is an apocalyptic number.

12302794224 is a gapful number since it is divisible by the number (14) 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 12302794224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20552613120).

12302794224 is an abundant number, since it is smaller than the sum of its proper divisors (28802432016).

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

12302794224 is a wasteful number, since it uses less digits than its factorization.

12302794224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12302794224 in words is "twelve billion, three hundred two million, seven hundred ninety-four thousand, two hundred twenty-four".