221154000 has 320 divisors, whose sum is σ = 779950080. Its totient is φ = 53760000.

The previous prime is 221153987. The next prime is 221154019. The reversal of 221154000 is 451122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5393980 + ... + 5394020.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^221154000 is an apocalyptic number.

221154000 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 221154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

221154000 is an abundant number, since it is smaller than the sum of its proper divisors (558796080).

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

221154000 is a wasteful number, since it uses less digits than its factorization.

221154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 221154000 is about 14871.2474258214. The cubic root of 221154000 is about 604.7347606766.

The spelling of 221154000 in words is "two hundred twenty-one million, one hundred fifty-four thousand".