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1001444224 = 27111674259
BaseRepresentation
bin111011101100001…
…101001110000000
32120210101122012211
4323230031032000
54022332203344
6243212231504
733550064314
oct7354151600
92523348184
101001444224
1147431a960
1223b46b594
1312c624661
1497005b44
155cdb9334
hex3bb0d380

1001444224 has 64 divisors (see below), whose sum is σ = 2189980800. Its totient is φ = 452369920.

The previous prime is 1001444209. The next prime is 1001444237. The reversal of 1001444224 is 4224441001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1001444195 and 1001444204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233007 + ... + 237265.

It is an arithmetic number, because the mean of its divisors is an integer number (34218450).

Almost surely, 21001444224 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 1001444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094990400).

1001444224 is an abundant number, since it is smaller than the sum of its proper divisors (1188536576).

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

1001444224 is a wasteful number, since it uses less digits than its factorization.

1001444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1001444224 is about 31645.6035493084. The cubic root of 1001444224 is about 1000.4811764321.

Adding to 1001444224 its reverse (4224441001), we get a palindrome (5225885225).

The spelling of 1001444224 in words is "one billion, one million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 167 176 334 352 668 704 1336 1408 1837 2672 3674 4259 5344 7348 8518 10688 14696 17036 21376 29392 34072 46849 58784 68144 93698 117568 136288 187396 235136 272576 374792 545152 711253 749584 1422506 1499168 2845012 2998336 5690024 5996672 7823783 11380048 15647566 22760096 31295132 45520192 62590264 91040384 125180528 250361056 500722112 1001444224