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199227906 = 23237389769
BaseRepresentation
bin10111101111111…
…11101000000010
3111212212211022100
423313333220002
5402000243111
631434051230
74636260243
oct1367775002
9455784270
10199227906
11a2505969
1256879b16
1332376a47
141c660cca
1512755756
hexbdffa02

199227906 has 48 divisors (see below), whose sum is σ = 445044600. Its totient is φ = 64364544.

The previous prime is 199227887. The next prime is 199227929. The reversal of 199227906 is 609722991.

It can be written as a sum of positive squares in 4 ways, for example, as 174636225 + 24591681 = 13215^2 + 4959^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258690 + ... + 259458.

Almost surely, 2199227906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199227906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222522300).

199227906 is an abundant number, since it is smaller than the sum of its proper divisors (245816694).

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

199227906 is a wasteful number, since it uses less digits than its factorization.

199227906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 199227906 is about 14114.8115821643. The cubic root of 199227906 is about 584.0500383252.

The spelling of 199227906 in words is "one hundred ninety-nine million, two hundred twenty-seven thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 389 666 769 778 1167 1538 2307 2334 3501 4614 6921 7002 13842 14393 28453 28786 43179 56906 85359 86358 129537 170718 256077 259074 299141 512154 598282 897423 1794846 2692269 5384538 11068217 22136434 33204651 66409302 99613953 199227906