Base | Representation |
---|---|
bin | 111111011001… |
… | …0000100011000 |
3 | 2022112112011020 |
4 | 1332302010120 |
5 | 32002011344 |
6 | 3144202440 |
7 | 552331461 |
oct | 176620430 |
9 | 68475136 |
10 | 33235224 |
11 | 17840130 |
12 | b169420 |
13 | 6b68719 |
14 | 45b1d68 |
15 | 2db7719 |
hex | 1fb2118 |
33235224 has 96 divisors (see below), whose sum is σ = 94374720. Its totient is φ = 9672000.
The previous prime is 33235217. The next prime is 33235229. The reversal of 33235224 is 42253233.
It is a Cunningham number, because it is equal to 57652-1.
It is a super-2 number, since 2×332352242 = 2209160228660352, which contains 22 as substring.
It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 33235194 and 33235203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33235229) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253639 + ... + 253769.
It is an arithmetic number, because the mean of its divisors is an integer number (983070).
Almost surely, 233235224 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 33235224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47187360).
33235224 is an abundant number, since it is smaller than the sum of its proper divisors (61139496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33235224 is a wasteful number, since it uses less digits than its factorization.
33235224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 213 (or 178 counting only the distinct ones).
The product of its digits is 4320, while the sum is 24.
The square root of 33235224 is about 5764.9999132697. Note that the first 4 decimals coincide. The cubic root of 33235224 is about 321.5137395194.
Adding to 33235224 its reverse (42253233), we get a palindrome (75488457).
Subtracting 33235224 from its reverse (42253233), we obtain a square (9018009 = 30032).
It can be divided in two parts, 33 and 235224, that multiplied together give a cube (7762392 = 1983).
The spelling of 33235224 in words is "thirty-three million, two hundred thirty-five thousand, two hundred twenty-four".
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