Base | Representation |
---|---|
bin | 11010001100001… |
… | …01101100100000 |
3 | 120022101220202001 |
4 | 31012011230200 |
5 | 422220400000 |
6 | 33444533344 |
7 | 5305263532 |
oct | 1506055440 |
9 | 508356661 |
10 | 219700000 |
11 | 103018953 |
12 | 616b1254 |
13 | 36694000 |
14 | 2126d852 |
15 | 1444b46a |
hex | d185b20 |
219700000 has 144 divisors (see below), whose sum is σ = 585665640. Its totient is φ = 81120000.
The previous prime is 219699941. The next prime is 219700003. The reversal of 219700000 is 7912.
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 12 ways, for example, as 214446736 + 5253264 = 14644^2 + 2292^2 .
It is not an unprimeable number, because it can be changed into a prime (219700003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16899994 + ... + 16900006.
Almost surely, 2219700000 is an apocalyptic number.
219700000 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 219700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292832820).
219700000 is an abundant number, since it is smaller than the sum of its proper divisors (365965640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
219700000 is an frugal number, since it uses more digits than its factorization.
219700000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74 (or 20 counting only the distinct ones).
The product of its (nonzero) digits is 126, while the sum is 19.
The square root of 219700000 is about 14822.2805262888. The cubic root of 219700000 is about 603.4065483697.
Adding to 219700000 its reverse (7912), we get a palindrome (219707912).
The spelling of 219700000 in words is "two hundred nineteen million, seven hundred thousand".
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