Base | Representation |
---|---|
bin | 11100101011110… |
… | …01101001000000 |
3 | 121202202212112021 |
4 | 32111321221000 |
5 | 443044402034 |
6 | 35513211224 |
7 | 5651153200 |
oct | 1625715100 |
9 | 552685467 |
10 | 240622144 |
11 | 113908a84 |
12 | 68700b14 |
13 | 3ab0b089 |
14 | 23d58400 |
15 | 161d06b4 |
hex | e579a40 |
240622144 has 63 divisors (see below), whose sum is σ = 557453673. Its totient is φ = 102751488.
The previous prime is 240622139. The next prime is 240622147. The reversal of 240622144 is 441226042.
It is a happy number.
The square root of 240622144 is 15512.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 41473600 + 199148544 = 6440^2 + 14112^2 .
It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (240622147) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 868534 + ... + 868810.
It is an arithmetic number, because the mean of its divisors is an integer number (8848471).
Almost surely, 2240622144 is an apocalyptic number.
240622144 is the 15512-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 240622144
240622144 is an abundant number, since it is smaller than the sum of its proper divisors (316831529).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240622144 is an frugal number, since it uses more digits than its factorization.
240622144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 580 (or 286 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 25.
The cubic root of 240622144 is about 621.9830228718.
Multiplying 240622144 by its sum of digits (25), we get a square (6015553600 = 775602).
Adding to 240622144 its reverse (441226042), we get a palindrome (681848186).
The spelling of 240622144 in words is "two hundred forty million, six hundred twenty-two thousand, one hundred forty-four".
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