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199970000 = 245419997
BaseRepresentation
bin10111110101101…
…00110011010000
3111221021112021022
423322310303100
5402143020000
631502015012
74645500626
oct1372646320
9457245238
10199970000
11a297246a
1256b77468
1332576759
141c7b5516
1512850585
hexbeb4cd0

199970000 has 50 divisors (see below), whose sum is σ = 484171578. Its totient is φ = 79984000.

The previous prime is 199969967. The next prime is 199970011. The reversal of 199970000 is 79991.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 40806544 + 159163456 = 6388^2 + 12616^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2 + ... + 19998.

Almost surely, 2199970000 is an apocalyptic number.

199970000 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 199970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242085789).

199970000 is an abundant number, since it is smaller than the sum of its proper divisors (284201578).

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

199970000 is an equidigital number, since it uses as much as digits as its factorization.

199970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20025 (or 20004 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 35.

The square root of 199970000 is about 14141.0749237814. The cubic root of 199970000 is about 584.7743060031.

The spelling of 199970000 in words is "one hundred ninety-nine million, nine hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 19997 39994 79988 99985 159976 199970 319952 399940 499925 799880 999850 1599760 1999700 2499625 3999400 4999250 7998800 9998500 12498125 19997000 24996250 39994000 49992500 99985000 199970000