220449906000 has 240 divisors, whose sum is σ = 787866805440. Its totient is φ = 57419308800.

The previous prime is 220449905953. The next prime is 220449906031. The reversal of 220449906000 is 609944022.

220449906000 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 49 + 9 + 0 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×220449906000² (a number of 23 digits) contains 22 as substring.

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, 631591 + ... + 916409.

It is an arithmetic number, because the mean of its divisors is an integer number (3282778356).

Almost surely, 2^220449906000 is an apocalyptic number.

220449906000 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 220449906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393933402720).

220449906000 is an abundant number, since it is smaller than the sum of its proper divisors (567416899440).

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

220449906000 is a wasteful number, since it uses less digits than its factorization.

220449906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284891 (or 284872 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 220449906000 in words is "two hundred twenty billion, four hundred forty-nine million, nine hundred six thousand".