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2421244224 = 2635723967
BaseRepresentation
bin1001000001010001…
…0100000101000000
320020201222221200000
42100110110011000
514424314303344
61040131400000
7114000144030
oct22024240500
96221887600
102421244224
111032802693
12576a53000
132c78164b9
1418d7cd8c0
15e2870a69
hex90514140

2421244224 has 336 divisors, whose sum is σ = 8591751168. Its totient is φ = 661022208.

The previous prime is 2421244213. The next prime is 2421244253. The reversal of 2421244224 is 4224421242.

2421244224 is a `hidden beast` number, since 2 + 4 + 212 + 442 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (8192) is a multiple of the sum of its prime factors (1024).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503389 + ... + 2504355.

It is an arithmetic number, because the mean of its divisors is an integer number (25570688).

Almost surely, 22421244224 is an apocalyptic number.

2421244224 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 2421244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295875584).

2421244224 is an abundant number, since it is smaller than the sum of its proper divisors (6170506944).

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

2421244224 is an equidigital number, since it uses as much as digits as its factorization.

2421244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1002 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 2421244224 is about 49206.1401046658. The cubic root of 2421244224 is about 1342.8047409072.

Adding to 2421244224 its reverse (4224421242), we get a palindrome (6645665466).

The spelling of 2421244224 in words is "two billion, four hundred twenty-one million, two hundred forty-four thousand, two hundred twenty-four".