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199448256 = 2637148399
BaseRepresentation
bin10111110001101…
…01011011000000
3111220022000120110
423320311123000
5402024321011
631442511320
74641165540
oct1370653300
9456260513
10199448256
11a2646477
1256965540
1332423127
141c6bb320
151279aba6
hexbe356c0

199448256 has 56 divisors (see below), whose sum is σ = 603097600. Its totient is φ = 56984832.

The previous prime is 199448251. The next prime is 199448257. The reversal of 199448256 is 652844991.

199448256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (199448251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72856 + ... + 75543.

It is an arithmetic number, because the mean of its divisors is an integer number (10769600).

Almost surely, 2199448256 is an apocalyptic number.

199448256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199448256 is an abundant number, since it is smaller than the sum of its proper divisors (403649344).

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

199448256 is a wasteful number, since it uses less digits than its factorization.

199448256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148421 (or 148411 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 199448256 is about 14122.6150552934. The cubic root of 199448256 is about 584.2652826169.

The spelling of 199448256 in words is "one hundred ninety-nine million, four hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 148399 296798 445197 593596 890394 1038793 1187192 1780788 2077586 2374384 3116379 3561576 4155172 4748768 6232758 7123152 8310344 9497536 12465516 14246304 16620688 24931032 28492608 33241376 49862064 66482752 99724128 199448256