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199455480 = 23335723769
BaseRepresentation
bin10111110001101…
…11001011111000
3111220022101111000
423320313023320
5402030033410
631443005000
74641225600
oct1370671370
9456271430
10199455480
11a2650944
1256969760
13324264c3
141c6bdc00
151279cdc0
hexbe372f8

199455480 has 192 divisors, whose sum is σ = 773604000. Its totient is φ = 45577728.

The previous prime is 199455467. The next prime is 199455481. The reversal of 199455480 is 84554991.

199455480 is a `hidden beast` number, since 1 + 9 + 94 + 554 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199455481) 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 47 ways as a sum of consecutive naturals, for example, 51036 + ... + 54804.

Almost surely, 2199455480 is an apocalyptic number.

199455480 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 199455480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386802000).

199455480 is an abundant number, since it is smaller than the sum of its proper divisors (574148520).

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

199455480 is a wasteful number, since it uses less digits than its factorization.

199455480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 199455480 is about 14122.8708129757. The cubic root of 199455480 is about 584.2723365458.

199455480 divided by its sum of digits (45) gives a palindrome (4432344).

It can be divided in two parts, 19945 and 5480, that added together give a triangular number (25425 = T225).

The spelling of 199455480 in words is "one hundred ninety-nine million, four hundred fifty-five thousand, four hundred eighty".