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199981250 = 25572653
BaseRepresentation
bin10111110101101…
…11100011000010
3111221022002200222
423322313203002
5402143400000
631502143042
74645545500
oct1372674302
9457262628
10199981250
11a297a967
1256b81a82
133257b901
141c7b9670
1512853a85
hexbeb78c2

199981250 has 72 divisors (see below), whose sum is σ = 436823604. Its totient is φ = 68460000.

The previous prime is 199981247. The next prime is 199981259. The reversal of 199981250 is 52189991.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 45252529 + 154728721 = 6727^2 + 12439^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (199981259) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 305924 + ... + 306576.

Almost surely, 2199981250 is an apocalyptic number.

199981250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199981250 is an abundant number, since it is smaller than the sum of its proper divisors (236842354).

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

199981250 is an frugal number, since it uses more digits than its factorization.

199981250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 44.

The square root of 199981250 is about 14141.4726955858. The cubic root of 199981250 is about 584.7852719606.

The spelling of 199981250 in words is "one hundred ninety-nine million, nine hundred eighty-one thousand, two hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 125 175 245 250 350 490 625 653 875 1225 1250 1306 1750 2450 3125 3265 4375 4571 6125 6250 6530 8750 9142 12250 16325 21875 22855 30625 31997 32650 43750 45710 61250 63994 81625 114275 153125 159985 163250 228550 306250 319970 408125 571375 799925 816250 1142750 1599850 2040625 2856875 3999625 4081250 5713750 7999250 14284375 19998125 28568750 39996250 99990625 199981250