189224640 has 336 divisors, whose sum is σ = 737798880. Its totient is φ = 45619200.

The previous prime is 189224627. The next prime is 189224641. The reversal of 189224640 is 46422981.

189224640 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 2 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 189224595 and 189224604.

It is not an unprimeable number, because it can be changed into a prime (189224641) 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 47 ways as a sum of consecutive naturals, for example, 1045350 + ... + 1045530.

It is an arithmetic number, because the mean of its divisors is an integer number (2195830).

Almost surely, 2^189224640 is an apocalyptic number.

189224640 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 189224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368899440).

189224640 is an abundant number, since it is smaller than the sum of its proper divisors (548574240).

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

189224640 is a wasteful number, since it uses less digits than its factorization.

189224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 189224640 is about 13755.8947364394. The cubic root of 189224640 is about 574.1066303460.

The spelling of 189224640 in words is "one hundred eighty-nine million, two hundred twenty-four thousand, six hundred forty".