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244020224 = 210759577
BaseRepresentation
bin11101000101101…
…11010000000000
3122000011111211002
432202313100000
5444432121344
640114111132
76022065140
oct1642672000
9560144732
10244020224
1111581a008
126987b4a8
133b72a986
14245a0920
151665244e
hexe8b7400

244020224 has 88 divisors (see below), whose sum is σ = 567919680. Its totient is φ = 102629376.

The previous prime is 244020221. The next prime is 244020229. The reversal of 244020224 is 422020442.

It is a junction number, because it is equal to n+sod(n) for n = 244020196 and 244020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244020221) 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 7 ways as a sum of consecutive naturals, for example, 422624 + ... + 423200.

Almost surely, 2244020224 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 244020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283959840).

244020224 is an abundant number, since it is smaller than the sum of its proper divisors (323899456).

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

244020224 is an equidigital number, since it uses as much as digits as its factorization.

244020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 244020224 is about 15621.1466928648. The cubic root of 244020224 is about 624.8972409192.

Adding to 244020224 its reverse (422020442), we get a palindrome (666040666).

The spelling of 244020224 in words is "two hundred forty-four million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 256 413 448 472 512 577 826 896 944 1024 1154 1652 1792 1888 2308 3304 3584 3776 4039 4616 6608 7168 7552 8078 9232 13216 15104 16156 18464 26432 30208 32312 34043 36928 52864 60416 64624 68086 73856 105728 129248 136172 147712 211456 238301 258496 272344 295424 422912 476602 516992 544688 590848 953204 1033984 1089376 1906408 2067968 2178752 3812816 4135936 4357504 7625632 8715008 15251264 17430016 30502528 34860032 61005056 122010112 244020224