221973048 has 240 divisors, whose sum is σ = 724185000. Its totient is φ = 63296640.

The previous prime is 221973043. The next prime is 221973091. The reversal of 221973048 is 840379122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221973041) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1489678 + ... + 1489826.

Almost surely, 2^221973048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221973048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362092500).

221973048 is an abundant number, since it is smaller than the sum of its proper divisors (502211952).

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

221973048 is a wasteful number, since it uses less digits than its factorization.

221973048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 221973048 is about 14898.7599483984. The cubic root of 221973048 is about 605.4803898037.

The spelling of 221973048 in words is "two hundred twenty-one million, nine hundred seventy-three thousand, forty-eight".