Base | Representation |
---|---|
bin | 111101101110111110100 |
3 | 10210202220020 |
4 | 13231313310 |
5 | 1004213100 |
6 | 111205140 |
7 | 23123445 |
oct | 7556764 |
9 | 3722806 |
10 | 2022900 |
11 | 1161920 |
12 | 8167b0 |
13 | 55a9a9 |
14 | 3a92cc |
15 | 29e5a0 |
hex | 1eddf4 |
2022900 has 72 divisors (see below), whose sum is σ = 6395424. Its totient is φ = 489600.
The previous prime is 2022893. The next prime is 2022971. The reversal of 2022900 is 92202.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2022900.
It is a congruent number.
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, 2994 + ... + 3606.
22022900 is an apocalyptic number.
2022900 is a gapful number since it is divisible by the number (20) 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 2022900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197712).
2022900 is an abundant number, since it is smaller than the sum of its proper divisors (4372524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022900 is a wasteful number, since it uses less digits than its factorization.
2022900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 641 (or 634 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 2022900 is about 1422.2868908909. The cubic root of 2022900 is about 126.4711511232.
The spelling of 2022900 in words is "two million, twenty-two thousand, nine hundred".
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