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5650228224 = 21038292
BaseRepresentation
bin1010100001100011…
…11010010000000000
3112120202220100000000
411100301322100000
543032424300344
62332400000000
7260006101404
oct52061722000
915522810000
105650228224
11243a452103
121118300000
136c0792714
143b85a1104
15231096a69
hex150c7a400

5650228224 has 297 divisors, whose sum is σ = 17545883017. Its totient is φ = 1818464256.

The previous prime is 5650228201. The next prime is 5650228229. The reversal of 5650228224 is 4228220565.

The square root of 5650228224 is 75168.

It is a perfect power (a square), and thus also a powerful number.

5650228224 is a `hidden beast` number, since 56 + 502 + 2 + 82 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2962842624 + 2687385600 = 54432^2 + 51840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5650228229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194835442 + ... + 194835470.

Almost surely, 25650228224 is an apocalyptic number.

5650228224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5650228224 is the 75168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5650228224

5650228224 is an abundant number, since it is smaller than the sum of its proper divisors (11895654793).

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

5650228224 is an frugal number, since it uses more digits than its factorization.

5650228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The cubic root of 5650228224 is about 1781.1014753944.

Multiplying 5650228224 by its sum of digits (36), we get a square (203408216064 = 4510082).

5650228224 divided by its sum of digits (36) gives a square (156950784 = 125282).

Adding to 5650228224 its reverse (4228220565), we get a palindrome (9878448789).

The spelling of 5650228224 in words is "five billion, six hundred fifty million, two hundred twenty-eight thousand, two hundred twenty-four".