| Base | Representation |
|---|---|
| bin | 1000011000101100… |
| … | …1111100110000000 |
| 3 | 12210212211102222200 |
| 4 | 2012023033212000 |
| 5 | 14102240010100 |
| 6 | 1011212433200 |
| 7 | 106532662302 |
| oct | 20613174600 |
| 9 | 5725742880 |
| 10 | 2251094400 |
| 11 | a557585a5 |
| 12 | 529a78800 |
| 13 | 29b4b0c29 |
| 14 | 174d7b972 |
| 15 | d2960e00 |
| hex | 862cf980 |
2251094400 has 144 divisors (see below), whose sum is σ = 8032523460. Its totient is φ = 600284160.
The previous prime is 2251094399. The next prime is 2251094401. The reversal of 2251094400 is 44901522.
2251094400 is a `hidden beast` number, since 2 + 251 + 0 + 9 + 4 + 400 = 666.
It is an interprime number because it is at equal distance from previous prime (2251094399) and next prime (2251094401).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×22510944002 = 10134851995422720000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2251094401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10282 + ... + 67881.
Almost surely, 22251094400 is an apocalyptic number.
2251094400 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 2251094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016261730).
2251094400 is an abundant number, since it is smaller than the sum of its proper divisors (5781429060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2251094400 is a wasteful number, since it uses less digits than its factorization.
2251094400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78193 (or 78173 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 2251094400 is about 47445.6994889948. The cubic root of 2251094400 is about 1310.5831174368.
Adding to 2251094400 its reverse (44901522), we get a palindrome (2295995922).
The spelling of 2251094400 in words is "two billion, two hundred fifty-one million, ninety-four thousand, four hundred".
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