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199344448 = 2617533457
BaseRepresentation
bin10111110000111…
…00000101000000
3111220002202011201
423320130011000
5402013010243
631440350544
74640254102
oct1370340500
9456082151
10199344448
11a2585486
1256915454
13323b7ac4
141c691572
151277a04d
hexbe1c140

199344448 has 56 divisors (see below), whose sum is σ = 426869352. Its totient is φ = 92012544.

The previous prime is 199344391. The next prime is 199344479. The reversal of 199344448 is 844443991.

199344448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19998784 + 179345664 = 4472^2 + 13392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 199344398 and 199344407.

It is a congruent number.

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, 55936 + ... + 59392.

It is an arithmetic number, because the mean of its divisors is an integer number (7622667).

Almost surely, 2199344448 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 199344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213434676).

199344448 is an abundant number, since it is smaller than the sum of its proper divisors (227524904).

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

199344448 is a wasteful number, since it uses less digits than its factorization.

199344448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3529 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 199344448 is about 14118.9393369332. The cubic root of 199344448 is about 584.1638997031.

The spelling of 199344448 in words is "one hundred ninety-nine million, three hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 136 212 272 424 544 848 901 1088 1696 1802 3392 3457 3604 6914 7208 13828 14416 27656 28832 55312 57664 58769 110624 117538 183221 221248 235076 366442 470152 732884 940304 1465768 1880608 2931536 3114757 3761216 5863072 6229514 11726144 12459028 24918056 49836112 99672224 199344448