221046500 has 48 divisors (see below), whose sum is σ = 484354416. Its totient is φ = 88128000.

The previous prime is 221046487. The next prime is 221046571. The reversal of 221046500 is 5640122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 110712484 + 110334016 = 10522^2 + 10504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215990 + ... + 217010.

It is an arithmetic number, because the mean of its divisors is an integer number (10090717).

Almost surely, 2^221046500 is an apocalyptic number.

221046500 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 221046500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242177208).

221046500 is an abundant number, since it is smaller than the sum of its proper divisors (263307916).

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

221046500 is a wasteful number, since it uses less digits than its factorization.

221046500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 221046500 is about 14867.6326293059. The cubic root of 221046500 is about 604.6367603044.

Adding to 221046500 its reverse (5640122), we get a palindrome (226686622).

The spelling of 221046500 in words is "two hundred twenty-one million, forty-six thousand, five hundred".