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199003392 = 28357457
BaseRepresentation
bin10111101110010…
…00110100000000
3111212110102100000
423313020310000
5401421102032
631425200000
74634333550
oct1367106400
9455412300
10199003392
11a2372215
1256790000
13322c87b3
141c603160
151270de7c
hexbdc8d00

199003392 has 216 divisors, whose sum is σ = 681518656. Its totient is φ = 56733696.

The previous prime is 199003391. The next prime is 199003417. The reversal of 199003392 is 293300991.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199003391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435228 + ... + 435684.

Almost surely, 2199003392 is an apocalyptic number.

199003392 is a gapful number since it is divisible by the number (12) 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 199003392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340759328).

199003392 is an abundant number, since it is smaller than the sum of its proper divisors (482515264).

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

199003392 is an frugal number, since it uses more digits than its factorization.

199003392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 199003392 is about 14106.8562054059. The cubic root of 199003392 is about 583.8305632184.

The spelling of 199003392 in words is "one hundred ninety-nine million, three thousand, three hundred ninety-two".