Base | Representation |
---|---|
bin | 1000010111000000… |
… | …1001111100111000 |
3 | 12210101110200020200 |
4 | 2011300021330320 |
5 | 14043430242100 |
6 | 1010400322200 |
7 | 106415425545 |
oct | 20560117470 |
9 | 5711420220 |
10 | 2243993400 |
11 | a51748500 |
12 | 527613360 |
13 | 299b95a5c |
14 | 17404dbcc |
15 | d200be00 |
hex | 85c09f38 |
2243993400 has 216 divisors, whose sum is σ = 8284261440. Its totient is φ = 543945600.
The previous prime is 2243993377. The next prime is 2243993429. The reversal of 2243993400 is 43993422.
2243993400 is a `hidden beast` number, since 2 + 243 + 9 + 9 + 3 + 400 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 212649 + ... + 222951.
Almost surely, 22243993400 is an apocalyptic number.
2243993400 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 2243993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142130720).
2243993400 is an abundant number, since it is smaller than the sum of its proper divisors (6040268040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2243993400 is a wasteful number, since it uses less digits than its factorization.
2243993400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10347 (or 10324 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The square root of 2243993400 is about 47370.8074662022. The cubic root of 2243993400 is about 1309.2036027248.
The spelling of 2243993400 in words is "two billion, two hundred forty-three million, nine hundred ninety-three thousand, four hundred".
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