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22443982848 = 218347151
BaseRepresentation
bin10100111001110001…
…000000000000000000
32010221011022110110000
4110321301000000000
5331431124422343
614151032240000
71423116464220
oct247161000000
963834273400
1022443982848
119578052561
124424540000
132168b22c31
14112cb14080
158b55cded3
hex539c40000

22443982848 has 380 divisors, whose sum is σ = 77141492032. Its totient is φ = 6370099200.

The previous prime is 22443982831. The next prime is 22443982853. The reversal of 22443982848 is 84828934422.

22443982848 is a `hidden beast` number, since 2 + 244 + 398 + 2 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×224439828482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22443982794 and 22443982803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148635573 + ... + 148635723.

Almost surely, 222443982848 is an apocalyptic number.

22443982848 is a gapful number since it is divisible by the number (28) 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 22443982848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38570746016).

22443982848 is an abundant number, since it is smaller than the sum of its proper divisors (54697509184).

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

22443982848 is an frugal number, since it uses more digits than its factorization.

22443982848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 163 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 22443982848 in words is "twenty-two billion, four hundred forty-three million, nine hundred eighty-two thousand, eight hundred forty-eight".