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224203444020 = 223356715141039
BaseRepresentation
bin1101000011001110010…
…0010000111100110100
3210102201010100000221000
43100303210100330310
512133132040202040
6250555253523300
722124653554513
oct3206344207464
9712633300830
10224203444020
11870a1aa99a6
1237551343530
13181b080a29a
14abcc75867a
155c73250130
hex3433910f34

224203444020 has 192 divisors, whose sum is σ = 712638259200. Its totient is φ = 58503772800.

The previous prime is 224203444013. The next prime is 224203444061. The reversal of 224203444020 is 20444302422.

224203444020 is a `hidden beast` number, since 224 + 2 + 0 + 34 + 4 + 402 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5442661 + ... + 5483699.

It is an arithmetic number, because the mean of its divisors is an integer number (3711657600).

Almost surely, 2224203444020 is an apocalyptic number.

224203444020 is a gapful number since it is divisible by the number (20) 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 224203444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356319129600).

224203444020 is an abundant number, since it is smaller than the sum of its proper divisors (488434815180).

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

224203444020 is a wasteful number, since it uses less digits than its factorization.

224203444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41275 (or 41267 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 224203444020 its reverse (20444302422), we get a palindrome (244647746442).

The spelling of 224203444020 in words is "two hundred twenty-four billion, two hundred three million, four hundred forty-four thousand, twenty".