196420224 has 384 divisors, whose sum is σ = 722796480. Its totient is φ = 46448640.

The previous prime is 196420187. The next prime is 196420267. The reversal of 196420224 is 422024691.

It is a Cunningham number, because it is equal to 14015²-1.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 196420191 and 196420200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690652 + ... + 2690724.

Almost surely, 2^196420224 is an apocalyptic number.

196420224 is a gapful number since it is divisible by the number (14) 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 196420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361398240).

196420224 is an abundant number, since it is smaller than the sum of its proper divisors (526376256).

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

196420224 is a wasteful number, since it uses less digits than its factorization.

196420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 196420224 is about 14014.9999643239. Note that the first 4 decimals coincide. The cubic root of 196420224 is about 581.2934115802.

The spelling of 196420224 in words is "one hundred ninety-six million, four hundred twenty thousand, two hundred twenty-four".