220899393000 has 1344 divisors, whose sum is σ = 921111497280. Its totient is φ = 49128768000.

The previous prime is 220899392983. The next prime is 220899393007. The reversal of 220899393000 is 393998022.

220899393000 is a `hidden beast` number, since 220 + 8 + 99 + 39 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (220899393007) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1355210919 + ... + 1355211081.

Almost surely, 2^220899393000 is an apocalyptic number.

220899393000 is a gapful number since it is divisible by the number (20) 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 220899393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460555748640).

220899393000 is an abundant number, since it is smaller than the sum of its proper divisors (700212104280).

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

220899393000 is a wasteful number, since it uses less digits than its factorization.

220899393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 220899393000 in words is "two hundred twenty billion, eight hundred ninety-nine million, three hundred ninety-three thousand".