196228032 has 224 divisors, whose sum is σ = 697772544. Its totient is φ = 47001600.

The previous prime is 196228027. The next prime is 196228063. The reversal of 196228032 is 230822691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 196227984 and 196228002.

It is a congruent number.

It is an unprimeable number.

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, 191682 + ... + 192702.

It is an arithmetic number, because the mean of its divisors is an integer number (3115056).

Almost surely, 2^196228032 is an apocalyptic number.

196228032 is a gapful number since it is divisible by the number (12) 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 196228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348886272).

196228032 is an abundant number, since it is smaller than the sum of its proper divisors (501544512).

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

196228032 is a wasteful number, since it uses less digits than its factorization.

196228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 196228032 is about 14008.1416326364. The cubic root of 196228032 is about 581.1037562938.

The spelling of 196228032 in words is "one hundred ninety-six million, two hundred twenty-eight thousand, thirty-two".