| Base | Representation |
|---|---|
| bin | 11010110101100… |
| … | …101110101100000 |
| 3 | 1011101020101102110 |
| 4 | 122311211311200 |
| 5 | 1410231144344 |
| 6 | 112402315320 |
| 7 | 14105054235 |
| oct | 3265456540 |
| 9 | 1141211373 |
| 10 | 450256224 |
| 11 | 211181190 |
| 12 | 106958b40 |
| 13 | 72389502 |
| 14 | 43b2778c |
| 15 | 297de3b9 |
| hex | 1ad65d60 |
450256224 has 96 divisors (see below), whose sum is σ = 1357292160. Its totient is φ = 129254400.
The previous prime is 450256181. The next prime is 450256229. The reversal of 450256224 is 422652054.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 450256191 and 450256200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (450256229) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8844 + ... + 31284.
It is an arithmetic number, because the mean of its divisors is an integer number (14138460).
Almost surely, 2450256224 is an apocalyptic number.
450256224 is a gapful number since it is divisible by the number (44) 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 450256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678646080).
450256224 is an abundant number, since it is smaller than the sum of its proper divisors (907035936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
450256224 is a wasteful number, since it uses less digits than its factorization.
450256224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22484 (or 22476 counting only the distinct ones).
The product of its (nonzero) digits is 19200, while the sum is 30.
The square root of 450256224 is about 21219.2418337697. The cubic root of 450256224 is about 766.4548469225.
It can be divided in two parts, 4502 and 56224, that added together give a triangular number (60726 = T348).
The spelling of 450256224 in words is "four hundred fifty million, two hundred fifty-six thousand, two hundred twenty-four".
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