Base | Representation |
---|---|
bin | 11110111010111000… |
… | …000001101100000000 |
3 | 10011200202200202212200 |
4 | 132322320001230000 |
5 | 1020443201121344 |
6 | 23130223353200 |
7 | 2253504341610 |
oct | 367270015400 |
9 | 104622622780 |
10 | 33200020224 |
11 | 13097600648 |
12 | 6526752800 |
13 | 319133cba7 |
14 | 186d43aa40 |
15 | ce4a2d069 |
hex | 7bae01b00 |
33200020224 has 216 divisors, whose sum is σ = 109552104480. Its totient is φ = 9472425984.
The previous prime is 33200020219. The next prime is 33200020237. The reversal of 33200020224 is 42202000233.
It is a super-2 number, since 2×332000202242 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 33200020197 and 33200020206.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20788194 + ... + 20789790.
Almost surely, 233200020224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33200020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54776052240).
33200020224 is an abundant number, since it is smaller than the sum of its proper divisors (76352084256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33200020224 is a wasteful number, since it uses less digits than its factorization.
33200020224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2915 (or 2898 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
Adding to 33200020224 its reverse (42202000233), we get a palindrome (75402020457).
The spelling of 33200020224 in words is "thirty-three billion, two hundred million, twenty thousand, two hundred twenty-four".
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