Base | Representation |
---|---|
bin | 11001011001010… |
… | …10000001000000 |
3 | 112211212012101000 |
4 | 30230222001000 |
5 | 414014024044 |
6 | 33050012000 |
7 | 5164515351 |
oct | 1454520100 |
9 | 484765330 |
10 | 213033024 |
11 | aa284956 |
12 | 5b417000 |
13 | 3519b559 |
14 | 20415d28 |
15 | 13a80d69 |
hex | cb2a040 |
213033024 has 112 divisors (see below), whose sum is σ = 632399040. Its totient is φ = 70318080.
The previous prime is 213033019. The next prime is 213033047. The reversal of 213033024 is 420330312.
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 = 213032988 and 213033006.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194719 + ... + 195809.
It is an arithmetic number, because the mean of its divisors is an integer number (5646420).
Almost surely, 2213033024 is an apocalyptic number.
213033024 is a gapful number since it is divisible by the number (24) 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 213033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316199520).
213033024 is an abundant number, since it is smaller than the sum of its proper divisors (419366016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213033024 is a wasteful number, since it uses less digits than its factorization.
213033024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1225 (or 1209 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 213033024 is about 14595.6508590744. The cubic root of 213033024 is about 597.2401246110.
Adding to 213033024 its reverse (420330312), we get a palindrome (633363336).
The spelling of 213033024 in words is "two hundred thirteen million, thirty-three thousand, twenty-four".
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