197582220 has 384 divisors, whose sum is σ = 735436800. Its totient is φ = 43545600.

The previous prime is 197582173. The next prime is 197582227. The reversal of 197582220 is 22285791.

197582220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (197582227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5340042 + ... + 5340078.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2^197582220 is an apocalyptic number.

197582220 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 197582220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367718400).

197582220 is an abundant number, since it is smaller than the sum of its proper divisors (537854580).

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

197582220 is a wasteful number, since it uses less digits than its factorization.

197582220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

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

The square root of 197582220 is about 14056.3942744930. The cubic root of 197582220 is about 582.4374434715.

The spelling of 197582220 in words is "one hundred ninety-seven million, five hundred eighty-two thousand, two hundred twenty".