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299198144 = 2675312601
BaseRepresentation
bin10001110101010…
…110011011000000
3202211222211200202
4101311112123000
51103043320034
645404504332
710262066540
oct2165263300
9684884622
10299198144
11143986aa3
128424b0a8
1349ca9b2b
142ba45320
151b40147e
hex11d566c0

299198144 has 56 divisors (see below), whose sum is σ = 691396128. Its totient is φ = 125798400.

The previous prime is 299198129. The next prime is 299198167. The reversal of 299198144 is 441891992.

It is a tau number, because it is divible by the number of its divisors (56).

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, 17444 + ... + 30044.

Almost surely, 2299198144 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 299198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345698064).

299198144 is an abundant number, since it is smaller than the sum of its proper divisors (392197984).

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

299198144 is a wasteful number, since it uses less digits than its factorization.

299198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673 (or 12663 counting only the distinct ones).

The product of its digits is 186624, while the sum is 47.

The square root of 299198144 is about 17297.3449985829. The cubic root of 299198144 is about 668.8359858692.

The spelling of 299198144 in words is "two hundred ninety-nine million, one hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 5936 11872 12601 23744 25202 50404 88207 100808 176414 201616 352828 403232 667853 705656 806464 1335706 1411312 2671412 2822624 4674971 5342824 5645248 9349942 10685648 18699884 21371296 37399768 42742592 74799536 149599072 299198144