221849000 has 32 divisors (see below), whose sum is σ = 519129000. Its totient is φ = 88739200.

The previous prime is 221848967. The next prime is 221849011. The reversal of 221849000 is 948122.

It can be written as a sum of positive squares in 4 ways, for example, as 74615044 + 147233956 = 8638^2 + 12134^2 .

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 7 ways as a sum of consecutive naturals, for example, 109925 + ... + 111924.

Almost surely, 2^221849000 is an apocalyptic number.

221849000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221849000 is an abundant number, since it is smaller than the sum of its proper divisors (297280000).

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

221849000 is a wasteful number, since it uses less digits than its factorization.

221849000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221870 (or 221856 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 221849000 is about 14894.5963355843. The cubic root of 221849000 is about 605.3675793706.

The spelling of 221849000 in words is "two hundred twenty-one million, eight hundred forty-nine thousand".