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199304192 = 210171072
BaseRepresentation
bin10111110000100…
…10010000000000
3111220000200221202
423320102100000
5402010213232
631435440332
74640025533
oct1370222000
9456020852
10199304192
11a255820a
12568b60a8
13323a2699
141c680a1a
151276d162
hexbe12400

199304192 has 66 divisors (see below), whose sum is σ = 425829222. Its totient is φ = 92913664.

The previous prime is 199304137. The next prime is 199304213. The reversal of 199304192 is 291403991.

It can be written as a sum of positive squares in only one way, i.e., 187580416 + 11723776 = 13696^2 + 3424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1862603 + ... + 1862709.

Almost surely, 2199304192 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 199304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212914611).

199304192 is an abundant number, since it is smaller than the sum of its proper divisors (226525030).

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

199304192 is an equidigital number, since it uses as much as digits as its factorization.

199304192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 199304192 is about 14117.5136621149. The cubic root of 199304192 is about 584.1245746632.

The spelling of 199304192 in words is "one hundred ninety-nine million, three hundred four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 136 214 256 272 428 512 544 856 1024 1088 1712 1819 2176 3424 3638 4352 6848 7276 8704 11449 13696 14552 17408 22898 27392 29104 45796 54784 58208 91592 109568 116416 183184 194633 232832 366368 389266 465664 732736 778532 931328 1465472 1557064 1862656 2930944 3114128 5861888 6228256 11723776 12456512 24913024 49826048 99652096 199304192