Base | Representation |
---|---|
bin | 111111001111111… |
… | …1010011000010000 |
3 | 12110220110202011010 |
4 | 1332133322120100 |
5 | 13321301413200 |
6 | 550332050520 |
7 | 103410131253 |
oct | 17637723020 |
9 | 5426422133 |
10 | 2122294800 |
11 | 999a8654a |
12 | 4b2903a40 |
13 | 27a8c5952 |
14 | 161c1109a |
15 | c64bd150 |
hex | 7e7fa610 |
2122294800 has 120 divisors (see below), whose sum is σ = 6838383744. Its totient is φ = 562618880.
The previous prime is 2122294787. The next prime is 2122294819. The reversal of 2122294800 is 84922212.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (30).
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, 202489 + ... + 212711.
Almost surely, 22122294800 is an apocalyptic number.
2122294800 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 2122294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419191872).
2122294800 is an abundant number, since it is smaller than the sum of its proper divisors (4716088944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122294800 is a wasteful number, since it uses less digits than its factorization.
2122294800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10417 (or 10406 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 30.
The square root of 2122294800 is about 46068.3709284364. The cubic root of 2122294800 is about 1285.0950082922.
The spelling of 2122294800 in words is "two billion, one hundred twenty-two million, two hundred ninety-four thousand, eight hundred".
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