Base | Representation |
---|---|
bin | 1100111100001000100… |
… | …0111011001000000000 |
3 | 210020210111111222201012 |
4 | 3033002020323020000 |
5 | 12120232403420303 |
6 | 250042354100052 |
7 | 22026545442044 |
oct | 3170210731000 |
9 | 706714458635 |
10 | 222300451328 |
11 | 8630589a36a |
12 | 370bbb7a628 |
13 | 17c694994c7 |
14 | aa8bb12024 |
15 | 5bb11505d8 |
hex | 33c223b200 |
222300451328 has 90 divisors (see below), whose sum is σ = 452349506763. Its totient is φ = 109139205120.
The previous prime is 222300451319. The next prime is 222300451343. The reversal of 222300451328 is 823154003222.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 111150225664 + 111150225664 = 333392^2 + 333392^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=333392.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 222300451294 and 222300451303.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 714792293 + ... + 714792603.
Almost surely, 2222300451328 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 222300451328
222300451328 is an abundant number, since it is smaller than the sum of its proper divisors (230049055435).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222300451328 is an frugal number, since it uses more digits than its factorization.
222300451328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 774 (or 380 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 32.
Multiplying 222300451328 by its sum of digits (32), we get a square (7113614442496 = 26671362).
222300451328 divided by its sum of digits (32) gives a square (6946889104 = 833482).
The spelling of 222300451328 in words is "two hundred twenty-two billion, three hundred million, four hundred fifty-one thousand, three hundred twenty-eight".
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