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199948000 = 2553737193
BaseRepresentation
bin10111110101011…
…11011011100000
3111221020102002111
423322233123200
5402141314000
631501325104
74645346530
oct1372573340
9457212074
10199948000
11a295798a
1256b66794
1332569735
141c7ab4c0
1512848cba
hexbeaf6e0

199948000 has 192 divisors, whose sum is σ = 579616128. Its totient is φ = 66355200.

The previous prime is 199947989. The next prime is 199948003. The reversal of 199948000 is 849991.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199948003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1035904 + ... + 1036096.

It is an arithmetic number, because the mean of its divisors is an integer number (3018834).

Almost surely, 2199948000 is an apocalyptic number.

199948000 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 199948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289808064).

199948000 is an abundant number, since it is smaller than the sum of its proper divisors (379668128).

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

199948000 is a wasteful number, since it uses less digits than its factorization.

199948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 199948000 is about 14140.2970265833. The cubic root of 199948000 is about 584.7528602753.

The spelling of 199948000 in words is "one hundred ninety-nine million, nine hundred forty-eight thousand".