221153000 has 64 divisors (see below), whose sum is σ = 547981200. Its totient is φ = 83251200.

The previous prime is 221152991. The next prime is 221153003. The reversal of 221153000 is 351122.

It is a happy number.

221153000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6061444 + 215091556 = 2462^2 + 14666^2 .

It is not an unprimeable number, because it can be changed into a prime (221153003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10496 + ... + 23504.

Almost surely, 2^221153000 is an apocalyptic number.

221153000 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 221153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273990600).

221153000 is an abundant number, since it is smaller than the sum of its proper divisors (326828200).

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

221153000 is a wasteful number, since it uses less digits than its factorization.

221153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13047 (or 13033 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 221153000 is about 14871.2138038561. The cubic root of 221153000 is about 604.7338491916.

The spelling of 221153000 in words is "two hundred twenty-one million, one hundred fifty-three thousand".