221729088 has 168 divisors, whose sum is σ = 709159872. Its totient is φ = 59885568.

The previous prime is 221729087. The next prime is 221729111. The reversal of 221729088 is 880927122.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221729087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484956 + ... + 485412.

Almost surely, 2^221729088 is an apocalyptic number.

221729088 is a gapful number since it is divisible by the number (28) 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 221729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354579936).

221729088 is an abundant number, since it is smaller than the sum of its proper divisors (487430784).

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

221729088 is a wasteful number, since it uses less digits than its factorization.

221729088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 221729088 is about 14890.5704390396. The cubic root of 221729088 is about 605.2584902757.

The spelling of 221729088 in words is "two hundred twenty-one million, seven hundred twenty-nine thousand, eighty-eight".