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196992000 = 210345319
BaseRepresentation
bin10111011110111…
…01110000000000
3111201200020020000
423233131300000
5400412221000
631314120000
74611255462
oct1357356000
9451606200
10196992000
11a1219007
1255b80000
1331a7311a
141c23c132
1512463000
hexbbddc00

196992000 has 440 divisors, whose sum is σ = 772783440. Its totient is φ = 49766400.

The previous prime is 196991999. The next prime is 196992001. The reversal of 196992000 is 299691.

196992000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196991999) and next prime (196992001).

It is a super-3 number, since 3×1969920003 (a number of 26 digits) contains 333 as substring.

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 (196992001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367991 + ... + 10368009.

It is an arithmetic number, because the mean of its divisors is an integer number (1756326).

Almost surely, 2196992000 is an apocalyptic number.

196992000 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 196992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386391720).

196992000 is an abundant number, since it is smaller than the sum of its proper divisors (575791440).

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

196992000 is an equidigital number, since it uses as much as digits as its factorization.

196992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 196992000 is about 14035.3838565249. The cubic root of 196992000 is about 581.8569103008.

The spelling of 196992000 in words is "one hundred ninety-six million, nine hundred ninety-two thousand".