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199374240 = 25351389359
BaseRepresentation
bin10111110001000…
…11010110100000
3111220011021001010
423320203112200
5402014433430
631441140520
74640440002
oct1370432640
9456137033
10199374240
11a25a58aa
125692a740
13323c8530
141c69c372
1512783cb0
hexbe235a0

199374240 has 192 divisors, whose sum is σ = 685843200. Its totient is φ = 48390144.

The previous prime is 199374223. The next prime is 199374247. The reversal of 199374240 is 42473991.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (199374247) 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 31 ways as a sum of consecutive naturals, for example, 555181 + ... + 555539.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2199374240 is an apocalyptic number.

199374240 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 199374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342921600).

199374240 is an abundant number, since it is smaller than the sum of its proper divisors (486468960).

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

199374240 is a wasteful number, since it uses less digits than its factorization.

199374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 199374240 is about 14119.9943342765. The cubic root of 199374240 is about 584.1929993247.

The spelling of 199374240 in words is "one hundred ninety-nine million, three hundred seventy-four thousand, two hundred forty".