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199919700 = 2232521911163
BaseRepresentation
bin10111110101010…
…00100001010100
3111221011222021100
423322220201110
5402134412300
631500550100
74645201161
oct1372504124
9457158240
10199919700
11a29386a2
1256b52330
13325598a6
141c7a1068
1512840700
hexbea8854

199919700 has 108 divisors (see below), whose sum is σ = 630459648. Its totient is φ = 52987200.

The previous prime is 199919689. The next prime is 199919701. The reversal of 199919700 is 7919991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199919701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171319 + ... + 172481.

Almost surely, 2199919700 is an apocalyptic number.

199919700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199919700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315229824).

199919700 is an abundant number, since it is smaller than the sum of its proper divisors (430539948).

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

199919700 is a wasteful number, since it uses less digits than its factorization.

199919700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 45927, while the sum is 45.

The square root of 199919700 is about 14139.2963049793. The cubic root of 199919700 is about 584.7252709575.

The spelling of 199919700 in words is "one hundred ninety-nine million, nine hundred nineteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 191 225 300 382 450 573 764 900 955 1146 1163 1719 1910 2292 2326 2865 3438 3489 3820 4652 4775 5730 5815 6876 6978 8595 9550 10467 11460 11630 13956 14325 17190 17445 19100 20934 23260 28650 29075 34380 34890 41868 42975 52335 57300 58150 69780 85950 87225 104670 116300 171900 174450 209340 222133 261675 348900 444266 523350 666399 888532 1046700 1110665 1332798 1999197 2221330 2665596 3331995 3998394 4442660 5553325 6663990 7996788 9995985 11106650 13327980 16659975 19991970 22213300 33319950 39983940 49979925 66639900 99959850 199919700