| Base | Representation |
|---|---|
| bin | 1000000100000… |
| … | …1010100110000 |
| 3 | 2100122100001200 |
| 4 | 2001001110300 |
| 5 | 32124301000 |
| 6 | 3204531200 |
| 7 | 560324262 |
| oct | 201012460 |
| 9 | 70570050 |
| 10 | 33822000 |
| 11 | 18100a73 |
| 12 | b3b0b00 |
| 13 | 7012824 |
| 14 | 46c5b32 |
| 15 | 2e81500 |
| hex | 2041530 |
33822000 has 120 divisors (see below), whose sum is σ = 118191840. Its totient is φ = 9014400.
The previous prime is 33821987. The next prime is 33822001. The reversal of 33822000 is 22833.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×338220002 = 2287855368000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33822001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17061 + ... + 18939.
It is an arithmetic number, because the mean of its divisors is an integer number (984932).
Almost surely, 233822000 is an apocalyptic number.
33822000 is a gapful number since it is divisible by the number (30) 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 33822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59095920).
33822000 is an abundant number, since it is smaller than the sum of its proper divisors (84369840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33822000 is a wasteful number, since it uses less digits than its factorization.
33822000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1908 (or 1889 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 33822000 is about 5815.6684912399. The cubic root of 33822000 is about 323.3948466473.
Adding to 33822000 its reverse (22833), we get a palindrome (33844833).
The spelling of 33822000 in words is "thirty-three million, eight hundred twenty-two thousand".
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