Base | Representation |
---|---|
bin | 1000100011001111100000 |
3 | 11012212202200 |
4 | 20203033200 |
5 | 1033212004 |
6 | 120013200 |
7 | 25023666 |
oct | 10431740 |
9 | 4185680 |
10 | 2241504 |
11 | 12a1091 |
12 | 901200 |
13 | 606345 |
14 | 424c36 |
15 | 2e4239 |
hex | 2233e0 |
2241504 has 72 divisors (see below), whose sum is σ = 6558552. Its totient is φ = 725760.
The previous prime is 2241479. The next prime is 2241509. The reversal of 2241504 is 4051422.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2241509) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12294 + ... + 12474.
It is an arithmetic number, because the mean of its divisors is an integer number (91091).
22241504 is an apocalyptic number.
2241504 is a gapful number since it is divisible by the number (24) 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 2241504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279276).
2241504 is an abundant number, since it is smaller than the sum of its proper divisors (4317048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2241504 is a wasteful number, since it uses less digits than its factorization.
2241504 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 240 (or 229 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 2241504 is about 1497.1653215327. The cubic root of 2241504 is about 130.8719296877.
Adding to 2241504 its reverse (4051422), we get a palindrome (6292926).
It can be divided in two parts, 224 and 1504, that added together give a cube (1728 = 123).
The spelling of 2241504 in words is "two million, two hundred forty-one thousand, five hundred four".
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