| Base | Representation |
|---|---|
| bin | 1111111000011… |
| … | …11101010101000 |
| 3 | 100021200221202102 |
| 4 | 13330033222220 |
| 5 | 233101431240 |
| 6 | 21115352532 |
| 7 | 3205315223 |
| oct | 774175250 |
| 9 | 307627672 |
| 10 | 133233320 |
| 11 | 69230190 |
| 12 | 38752748 |
| 13 | 217ab3ac |
| 14 | 139a25ba |
| 15 | ba6b815 |
| hex | 7f0faa8 |
133233320 has 64 divisors (see below), whose sum is σ = 344260800. Its totient is φ = 45895680.
The previous prime is 133233299. The next prime is 133233329. The reversal of 133233320 is 23332331.
It is a super-2 number, since 2×1332333202 = 35502235116444800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 133233292 and 133233301.
It is not an unprimeable number, because it can be changed into a prime (133233329) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392 + ... + 16328.
It is an arithmetic number, because the mean of its divisors is an integer number (5379075).
Almost surely, 2133233320 is an apocalyptic number.
133233320 is a gapful number since it is divisible by the number (10) 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 133233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172130400).
133233320 is an abundant number, since it is smaller than the sum of its proper divisors (211027480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133233320 is a wasteful number, since it uses less digits than its factorization.
133233320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15978 (or 15974 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 20.
The square root of 133233320 is about 11542.6738670033. The cubic root of 133233320 is about 510.7451877098.
133233320 divided by its sum of digits (20) gives a palindrome (6661666).
Adding to 133233320 its reverse (23332331), we get a palindrome (156565651).
The spelling of 133233320 in words is "one hundred thirty-three million, two hundred thirty-three thousand, three hundred twenty".
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