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196319808 = 26331741163
BaseRepresentation
bin10111011001110…
…01101001000000
3111200102002011000
423230321221000
5400224213213
631251452000
74602455646
oct1354715100
9450362130
10196319808
11a08a9a83
12558b7000
1331899189
141c105196
151237dc73
hexbb39a40

196319808 has 224 divisors, whose sum is σ = 629838720. Its totient is φ = 59719680.

The previous prime is 196319803. The next prime is 196319813. The reversal of 196319808 is 808913691.

196319808 is a `hidden beast` number, since 1 + 9 + 631 + 9 + 8 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (196319803) and next prime (196319813).

It is not an unprimeable number, because it can be changed into a prime (196319801) 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, 1204335 + ... + 1204497.

It is an arithmetic number, because the mean of its divisors is an integer number (2811780).

Almost surely, 2196319808 is an apocalyptic number.

196319808 is a gapful number since it is divisible by the number (18) 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 196319808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314919360).

196319808 is an abundant number, since it is smaller than the sum of its proper divisors (433518912).

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

196319808 is a wasteful number, since it uses less digits than its factorization.

196319808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 196319808 is about 14011.4170589559. The cubic root of 196319808 is about 581.1943363969.

The spelling of 196319808 in words is "one hundred ninety-six million, three hundred nineteen thousand, eight hundred eight".