Base | Representation |
---|---|
bin | 11010011001011… |
… | …10110001100100 |
3 | 120102200101010010 |
4 | 31030232301210 |
5 | 423142103444 |
6 | 33550130220 |
7 | 5326134642 |
oct | 1514566144 |
9 | 512611103 |
10 | 221441124 |
11 | 103aa7aa3 |
12 | 621b0970 |
13 | 36b53668 |
14 | 215a4192 |
15 | 146922b9 |
hex | d32ec64 |
221441124 has 48 divisors (see below), whose sum is σ = 546586880. Its totient is φ = 69582240.
The previous prime is 221441113. The next prime is 221441131. The reversal of 221441124 is 421144122.
221441124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2214411243 (a number of 26 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 221441124.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45807 + ... + 50409.
Almost surely, 2221441124 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221441124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273293440).
221441124 is an abundant number, since it is smaller than the sum of its proper divisors (325145756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221441124 is a wasteful number, since it uses less digits than its factorization.
221441124 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4840 (or 4838 counting only the distinct ones).
The product of its digits is 512, while the sum is 21.
The square root of 221441124 is about 14880.8979567767. The cubic root of 221441124 is about 604.9963563289.
Adding to 221441124 its reverse (421144122), we get a palindrome (642585246).
The spelling of 221441124 in words is "two hundred twenty-one million, four hundred forty-one thousand, one hundred twenty-four".
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