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199129344 = 2832511033
BaseRepresentation
bin10111101111001…
…11100100000000
3111212200211002220
423313213210000
5401434114334
631432011040
74635400011
oct1367474400
9455624086
10199129344
11a2448907
1256830a80
1332340c1b
141c637008
1512736449
hexbde7900

199129344 has 72 divisors (see below), whose sum is σ = 532600992. Its totient is φ = 66048000.

The previous prime is 199129289. The next prime is 199129361. The reversal of 199129344 is 443921991.

199129344 is digitally balanced in base 2, 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 = 199129296 and 199129305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192252 + ... + 193284.

It is an arithmetic number, because the mean of its divisors is an integer number (7397236).

Almost surely, 2199129344 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 199129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266300496).

199129344 is an abundant number, since it is smaller than the sum of its proper divisors (333471648).

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

199129344 is a wasteful number, since it uses less digits than its factorization.

199129344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1289 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 199129344 is about 14111.3197114940. The cubic root of 199129344 is about 583.9537087221.

The spelling of 199129344 in words is "one hundred ninety-nine million, one hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 256 384 502 753 768 1004 1033 1506 2008 2066 3012 3099 4016 4132 6024 6198 8032 8264 12048 12396 16064 16528 24096 24792 32128 33056 48192 49584 64256 66112 96384 99168 132224 192768 198336 259283 264448 396672 518566 777849 793344 1037132 1555698 2074264 3111396 4148528 6222792 8297056 12445584 16594112 24891168 33188224 49782336 66376448 99564672 199129344