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3166199340 = 22351783149251
BaseRepresentation
bin1011110010111000…
…0101111000101100
322011122202120222020
42330232011320230
522441021334330
61242102350140
7141314151603
oct27456057054
98148676866
103166199340
111385267477
1274442b350
133b5c65945
1422070aa3a
15137e73210
hexbcb85e2c

3166199340 has 192 divisors, whose sum is σ = 9601804800. Its totient is φ = 776704000.

The previous prime is 3166199339. The next prime is 3166199341. The reversal of 3166199340 is 439916613.

It is an interprime number because it is at equal distance from previous prime (3166199339) and next prime (3166199341).

It is a junction number, because it is equal to n+sod(n) for n = 3166199292 and 3166199301.

It is not an unprimeable number, because it can be changed into a prime (3166199341) 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 63 ways as a sum of consecutive naturals, for example, 12614215 + ... + 12614465.

It is an arithmetic number, because the mean of its divisors is an integer number (50009400).

Almost surely, 23166199340 is an apocalyptic number.

3166199340 is a gapful number since it is divisible by the number (30) 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 3166199340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800902400).

3166199340 is an abundant number, since it is smaller than the sum of its proper divisors (6435605460).

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

3166199340 is a wasteful number, since it uses less digits than its factorization.

3166199340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 3166199340 is about 56268.9909275082. The cubic root of 3166199340 is about 1468.4057778150.

The spelling of 3166199340 in words is "three billion, one hundred sixty-six million, one hundred ninety-nine thousand, three hundred forty".