Base | Representation |
---|---|
bin | 1000100111001… |
… | …00110001001000 |
3 | 12000221011220222 |
4 | 10103210301020 |
5 | 121443141300 |
6 | 11100205212 |
7 | 1535013554 |
oct | 423446110 |
9 | 160834828 |
10 | 72240200 |
11 | 3786114a |
12 | 20239808 |
13 | 11c743a6 |
14 | 9846864 |
15 | 651e785 |
hex | 44e4c48 |
72240200 has 36 divisors (see below), whose sum is σ = 168238395. Its totient is φ = 28848000.
The previous prime is 72240187. The next prime is 72240241. The reversal of 72240200 is 204227.
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 5 ways, for example, as 52330756 + 19909444 = 7234^2 + 4462^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=6010.
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, 119900 + ... + 120500.
Almost surely, 272240200 is an apocalyptic number.
It is an amenable number.
72240200 is an abundant number, since it is smaller than the sum of its proper divisors (95998195).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72240200 is an equidigital number, since it uses as much as digits as its factorization.
72240200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1218 (or 608 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 17.
The square root of 72240200 is about 8499.4235098623. The cubic root of 72240200 is about 416.4788771547.
Adding to 72240200 its reverse (204227), we get a palindrome (72444427).
It can be divided in two parts, 72240 and 200, that multiplied together give a triangular number (14448000 = T5375).
The spelling of 72240200 in words is "seventy-two million, two hundred forty thousand, two hundred".
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