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199160640 = 2633573789
BaseRepresentation
bin10111101111011…
…11001101000000
3111212202102001000
423313233031000
5401441120030
631432412000
74635560160
oct1367571500
9455672030
10199160640
11a246a378
1256847000
1332352243
141c6445a0
1512740860
hexbdef340

199160640 has 448 divisors, whose sum is σ = 833932800. Its totient is φ = 43794432.

The previous prime is 199160617. The next prime is 199160651. The reversal of 199160640 is 46061991.

199160640 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 199160595 and 199160604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237716 + ... + 2237804.

Almost surely, 2199160640 is an apocalyptic number.

199160640 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 199160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416966400).

199160640 is an abundant number, since it is smaller than the sum of its proper divisors (634772160).

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

199160640 is a wasteful number, since it uses less digits than its factorization.

199160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 199160640 is about 14112.4285649211. The cubic root of 199160640 is about 583.9842993214.

The spelling of 199160640 in words is "one hundred ninety-nine million, one hundred sixty thousand, six hundred forty".