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22300233344 = 271711099241
BaseRepresentation
bin10100110001001100…
…101000111010000000
32010120010211020012022
4110301030220322000
5331132324431334
614124455221012
71416422566364
oct246114507200
963503736168
1022300233344
11950399a414
1243a4377768
13214510205c
1411179b52a4
158a7b8682e
hex531328e80

22300233344 has 64 divisors (see below), whose sum is σ = 47087065800. Its totient is φ = 10483630080.

The previous prime is 22300233337. The next prime is 22300233353. The reversal of 22300233344 is 44333200322.

It can be written as a sum of positive squares in 4 ways, for example, as 21108602944 + 1191630400 = 145288^2 + 34520^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2408564 + ... + 2417804.

Almost surely, 222300233344 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 22300233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543532900).

22300233344 is an abundant number, since it is smaller than the sum of its proper divisors (24786832456).

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

22300233344 is a wasteful number, since it uses less digits than its factorization.

22300233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 22300233344 its reverse (44333200322), we get a palindrome (66633433666).

The spelling of 22300233344 in words is "twenty-two billion, three hundred million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 1109 2176 2218 4436 8872 9241 17744 18482 18853 35488 36964 37706 70976 73928 75412 141952 147856 150824 157097 295712 301648 314194 591424 603296 628388 1182848 1206592 1256776 2413184 2513552 5027104 10054208 10248269 20108416 20496538 40993076 81986152 163972304 174220573 327944608 348441146 655889216 696882292 1311778432 1393764584 2787529168 5575058336 11150116672 22300233344