198251550 has 288 divisors, whose sum is σ = 660716640. Its totient is φ = 44089920.

The previous prime is 198251531. The next prime is 198251551. The reversal of 198251550 is 55152891.

It is a happy number.

198251550 is a `hidden beast` number, since 1 + 98 + 2 + 515 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198251551) 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 143 ways as a sum of consecutive naturals, for example, 5358132 + ... + 5358168.

It is an arithmetic number, because the mean of its divisors is an integer number (2294155).

Almost surely, 2^198251550 is an apocalyptic number.

198251550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198251550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330358320).

198251550 is an abundant number, since it is smaller than the sum of its proper divisors (462465090).

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

198251550 is an equidigital number, since it uses as much as digits as its factorization.

198251550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 198251550 is about 14080.1828823350. The cubic root of 198251550 is about 583.0943910278.

The spelling of 198251550 in words is "one hundred ninety-eight million, two hundred fifty-one thousand, five hundred fifty".