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199244544 = 283614253
BaseRepresentation
bin10111110000000…
…11101100000000
3111212220200010120
423320003230000
5402001311134
631434300240
74636356612
oct1370035400
9455820116
10199244544
11a2517414
1256887680
13323814a5
141c666db2
151275a649
hexbe03b00

199244544 has 72 divisors (see below), whose sum is σ = 539100912. Its totient is φ = 65310720.

The previous prime is 199244503. The next prime is 199244599. The reversal of 199244544 is 445442991.

199244544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 199244496 and 199244505.

It is an unprimeable number.

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, 44722 + ... + 48974.

Almost surely, 2199244544 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 199244544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269550456).

199244544 is an abundant number, since it is smaller than the sum of its proper divisors (339856368).

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

199244544 is an equidigital number, since it uses as much as digits as its factorization.

199244544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4319 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 199244544 is about 14115.4009507346. The cubic root of 199244544 is about 584.0662963456.

The spelling of 199244544 in words is "one hundred ninety-nine million, two hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1464 1952 2928 3904 4253 5856 7808 8506 11712 12759 15616 17012 23424 25518 34024 46848 51036 68048 102072 136096 204144 259433 272192 408288 518866 544384 778299 816576 1037732 1088768 1556598 1633152 2075464 3113196 3266304 4150928 6226392 8301856 12452784 16603712 24905568 33207424 49811136 66414848 99622272 199244544