198225720 has 192 divisors, whose sum is σ = 803312640. Its totient is φ = 41184000.

The previous prime is 198225719. The next prime is 198225737. The reversal of 198225720 is 27522891.

198225720 is a `hidden beast` number, since 1 + 9 + 82 + 2 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24145 + ... + 31295.

It is an arithmetic number, because the mean of its divisors is an integer number (4183920).

Almost surely, 2^198225720 is an apocalyptic number.

198225720 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 198225720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401656320).

198225720 is an abundant number, since it is smaller than the sum of its proper divisors (605086920).

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

198225720 is a wasteful number, since it uses less digits than its factorization.

198225720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 198225720 is about 14079.2656058475. The cubic root of 198225720 is about 583.0690663292.

The spelling of 198225720 in words is "one hundred ninety-eight million, two hundred twenty-five thousand, seven hundred twenty".