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241022016 = 26322947307
BaseRepresentation
bin11100101110110…
…11010001000000
3121210112012001100
432113123101000
5443200201031
635525534400
75654440044
oct1627332100
9553465040
10241022016
11114061454
1268874400
133ac1b0a1
1424020024
151625dde6
hexe5db440

241022016 has 168 divisors, whose sum is σ = 732251520. Its totient is φ = 75672576.

The previous prime is 241022003. The next prime is 241022051. The reversal of 241022016 is 610220142.

It is a super-2 number, since 2×2410220162 = 116183224393408512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 241022016.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 784935 + ... + 785241.

It is an arithmetic number, because the mean of its divisors is an integer number (4358640).

Almost surely, 2241022016 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 241022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366125760).

241022016 is an abundant number, since it is smaller than the sum of its proper divisors (491229504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241022016 is a wasteful number, since it uses less digits than its factorization.

241022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 241022016 is about 15524.8837676808. The cubic root of 241022016 is about 622.3273745946.

Adding to 241022016 its reverse (610220142), we get a palindrome (851242158).

The spelling of 241022016 in words is "two hundred forty-one million, twenty-two thousand, sixteen".