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199969000 = 2353731153
BaseRepresentation
bin10111110101101…
…00100011101000
3111221021110220021
423322310203220
5402143002000
631502010224
74645465000
oct1372644350
9457243807
10199969000
11a2971740
1256b76974
133257616a
141c7b5000
151285011a
hexbeb48e8

199969000 has 256 divisors, whose sum is σ = 606528000. Its totient is φ = 61152000.

The previous prime is 199968971. The next prime is 199969001. The reversal of 199969000 is 969991.

It is a super-2 number, since 2×1999690002 = 79975201922000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (199969001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3772974 + ... + 3773026.

It is an arithmetic number, because the mean of its divisors is an integer number (2369250).

Almost surely, 2199969000 is an apocalyptic number.

199969000 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 199969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303264000).

199969000 is an abundant number, since it is smaller than the sum of its proper divisors (406559000).

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

199969000 is a wasteful number, since it uses less digits than its factorization.

199969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 43.

The square root of 199969000 is about 14141.0395657462. The cubic root of 199969000 is about 584.7733312314.

The spelling of 199969000 in words is "one hundred ninety-nine million, nine hundred sixty-nine thousand".