Base | Representation |
---|---|
bin | 1100111110010110110… |
… | …1101100110001000000 |
3 | 210022100002120202111011 |
4 | 3033211231230301000 |
5 | 12122443201410100 |
6 | 250221514330304 |
7 | 22050413512234 |
oct | 3174555546100 |
9 | 708302522434 |
10 | 222897294400 |
11 | 86591791400 |
12 | 37247a29994 |
13 | 1803302b1a1 |
14 | ab070b65c4 |
15 | 5be8747bba |
hex | 33e5b6cc40 |
222897294400 has 567 divisors, whose sum is σ = 641695964637. Its totient is φ = 76143513600.
The previous prime is 222897294397. The next prime is 222897294409. The reversal of 222897294400 is 4492798222.
The square root of 222897294400 is 472120.
It is a perfect power (a square), and thus also a powerful number.
222897294400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 13 ways, for example, as 41789171776 + 181108122624 = 204424^2 + 425568^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (222897294409) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6024251182 + ... + 6024251218.
Almost surely, 2222897294400 is an apocalyptic number.
222897294400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
222897294400 is the 472120-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 222897294400
222897294400 is an abundant number, since it is smaller than the sum of its proper divisors (418798670237).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222897294400 is a wasteful number, since it uses less digits than its factorization.
222897294400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 1161216, while the sum is 49.
Multiplying 222897294400 by its sum of digits (49), we get a square (10921967425600 = 33048402).
The spelling of 222897294400 in words is "two hundred twenty-two billion, eight hundred ninety-seven million, two hundred ninety-four thousand, four hundred".
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