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8823228480 = 26335111743127
BaseRepresentation
bin10000011011110011…
…11100100001000000
3211202220110110002000
420031321330201000
5121032221302410
64015304224000
7431435130123
oct101571744100
924686413060
108823228480
113818534170
121862a6b000
13aa7c69a71
145d9b5c3ba
1536990edc0
hex20de7c840

8823228480 has 896 divisors, whose sum is σ = 37079285760. Its totient is φ = 1950842880.

The previous prime is 8823228473. The next prime is 8823228499. The reversal of 8823228480 is 848223288.

It is a happy number.

It is a super-2 number, since 2×88232284802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69474177 + ... + 69474303.

Almost surely, 28823228480 is an apocalyptic number.

8823228480 is a gapful number since it is divisible by the number (80) 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 8823228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539642880).

8823228480 is an abundant number, since it is smaller than the sum of its proper divisors (28256057280).

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

8823228480 is a wasteful number, since it uses less digits than its factorization.

8823228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 8823228480 is about 93932.0418174757. The cubic root of 8823228480 is about 2066.3751726700.

The spelling of 8823228480 in words is "eight billion, eight hundred twenty-three million, two hundred twenty-eight thousand, four hundred eighty".