Base | Representation |
---|---|
bin | 1000010000001… |
… | …00000000000000 |
3 | 11211020212021121 |
4 | 10020010000000 |
5 | 120210104100 |
6 | 10511402024 |
7 | 1500244402 |
oct | 410040000 |
9 | 154225247 |
10 | 69222400 |
11 | 3608a8a5 |
12 | 1b223314 |
13 | 11458900 |
14 | 929cb72 |
15 | 612551a |
hex | 4204000 |
69222400 has 135 divisors (see below), whose sum is σ = 185887191. Its totient is φ = 25559040.
The previous prime is 69222397. The next prime is 69222403. The reversal of 69222400 is 422296.
The square root of 69222400 is 8320.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (69222397) and next prime (69222403).
It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 51380224 = 4224^2 + 7168^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (69222403) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5324794 + ... + 5324806.
Almost surely, 269222400 is an apocalyptic number.
69222400 is the 8320-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 69222400
69222400 is an abundant number, since it is smaller than the sum of its proper divisors (116664791).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
69222400 is an equidigital number, since it uses as much as digits as its factorization.
69222400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64 (or 20 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 25.
The cubic root of 69222400 is about 410.5967910197.
Multiplying 69222400 by its sum of digits (25), we get a square (1730560000 = 416002).
69222400 divided by its sum of digits (25) gives a square (2768896 = 16642).
Adding to 69222400 its reverse (422296), we get a palindrome (69644696).
The spelling of 69222400 in words is "sixty-nine million, two hundred twenty-two thousand, four hundred".
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