221951000272 has 40 divisors (see below), whose sum is σ = 448795594440. Its totient is φ = 106200514560.

The previous prime is 221951000263. The next prime is 221951000279. The reversal of 221951000272 is 272000159122.

It can be written as a sum of positive squares in 4 ways, for example, as 18589686336 + 203361313936 = 136344^2 + 450956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221951000279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2064129 + ... + 2168992.

It is an arithmetic number, because the mean of its divisors is an integer number (11219889861).

Almost surely, 2^221951000272 is an apocalyptic number.

221951000272 is the 251823-rd centered heptagonal number.

It is an amenable number.

221951000272 is an abundant number, since it is smaller than the sum of its proper divisors (226844594168).

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

221951000272 is a wasteful number, since it uses less digits than its factorization.

221951000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233271 (or 4233265 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 221951000272 its reverse (272000159122), we get a palindrome (493951159394).

The spelling of 221951000272 in words is "two hundred twenty-one billion, nine hundred fifty-one million, two hundred seventy-two", and thus it is an aban number.