| Base | Representation |
|---|---|
| bin | 111111100100100… |
| … | …1101110101100000 |
| 3 | 12111122211211211100 |
| 4 | 1333021031311200 |
| 5 | 13332034404100 |
| 6 | 551400114400 |
| 7 | 103601145513 |
| oct | 17711156540 |
| 9 | 5448754740 |
| 10 | 2133122400 |
| 11 | 9a5101482 |
| 12 | 4b6465a00 |
| 13 | 27cc17106 |
| 14 | 16342cd7a |
| 15 | c740b400 |
| hex | 7f24dd60 |
2133122400 has 432 divisors, whose sum is σ = 8189475840. Its totient is φ = 520473600.
The previous prime is 2133122399. The next prime is 2133122417. The reversal of 2133122400 is 42213312.
2133122400 is a `hidden beast` number, since 213 + 31 + 22 + 400 = 666.
It is a super-2 number, since 2×21331224002 = 9100422346763520000, 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 an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4240549 + ... + 4241051.
It is an arithmetic number, because the mean of its divisors is an integer number (18957120).
Almost surely, 22133122400 is an apocalyptic number.
2133122400 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 2133122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).
2133122400 is an abundant number, since it is smaller than the sum of its proper divisors (6056353440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2133122400 is a wasteful number, since it uses less digits than its factorization.
2133122400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 579 (or 563 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2133122400 is about 46185.7380584093. The cubic root of 2133122400 is about 1287.2767501811.
Adding to 2133122400 its reverse (42213312), we get a palindrome (2175335712).
The spelling of 2133122400 in words is "two billion, one hundred thirty-three million, one hundred twenty-two thousand, four hundred".
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