| Base | Representation |
|---|---|
| bin | 1101000110010100100… |
| … | …0001101110000000000 |
| 3 | 210111212001222000000000 |
| 4 | 3101211020031300000 |
| 5 | 12141332421423210 |
| 6 | 251214000000000 |
| 7 | 22154401346220 |
| oct | 3214510156000 |
| 9 | 714761860000 |
| 10 | 225034951680 |
| 11 | 874893aaa10 |
| 12 | 37743900000 |
| 13 | 182b3b72456 |
| 14 | ac6ad66080 |
| 15 | 5cc124cac0 |
| hex | 346520dc00 |
225034951680 has 1760 divisors, whose sum is σ = 1044327651840. Its totient is φ = 45148078080.
The previous prime is 225034951627. The next prime is 225034951681. The reversal of 225034951680 is 86159430522.
225034951680 is a `hidden beast` number, since 2 + 2 + 50 + 3 + 4 + 9 + 516 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (1760).
It is a super-3 number, since 3×2250349516803 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225034951681) 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 159 ways as a sum of consecutive naturals, for example, 7759825906 + ... + 7759825934.
It is an arithmetic number, because the mean of its divisors is an integer number (593367984).
Almost surely, 2225034951680 is an apocalyptic number.
225034951680 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 225034951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522163825920).
225034951680 is an abundant number, since it is smaller than the sum of its proper divisors (819292700160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225034951680 is an frugal number, since it uses more digits than its factorization.
225034951680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 518400, while the sum is 45.
The spelling of 225034951680 in words is "two hundred twenty-five billion, thirty-four million, nine hundred fifty-one thousand, six hundred eighty".
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