221162928 has 160 divisors (see below), whose sum is σ = 714240000. Its totient is φ = 57507840.

The previous prime is 221162899. The next prime is 221162957. The reversal of 221162928 is 829261122.

It is an interprime number because it is at equal distance from previous prime (221162899) and next prime (221162957).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176448 + ... + 177696.

It is an arithmetic number, because the mean of its divisors is an integer number (4464000).

Almost surely, 2^221162928 is an apocalyptic number.

221162928 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 221162928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120000).

221162928 is an abundant number, since it is smaller than the sum of its proper divisors (493077072).

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

221162928 is a wasteful number, since it uses less digits than its factorization.

221162928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 221162928 is about 14871.5475993590. The cubic root of 221162928 is about 604.7428982931.

The spelling of 221162928 in words is "two hundred twenty-one million, one hundred sixty-two thousand, nine hundred twenty-eight".