221723265625 has 21 divisors (see below), whose sum is σ = 277224127267. Its totient is φ = 177331525000.

The previous prime is 221723265623. The next prime is 221723265637. The reversal of 221723265625 is 526562327122.

The square root of 221723265625 is 470875.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 194250866121 + 27472399504 = 440739^2 + 165748^2 .

It is not a de Polignac number, because 221723265625 - 2¹ = 221723265623 is a prime.

It is a super-2 number, since 2×221723265625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221723265623) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 58857492 + ... + 58861258.

Almost surely, 2^221723265625 is an apocalyptic number.

221723265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

221723265625 is the 470875-th square number.

221723265625 is the 235438-th centered octagonal number.

It is an amenable number.

221723265625 is a deficient number, since it is larger than the sum of its proper divisors (55500861642).

221723265625 is an frugal number, since it uses more digits than its factorization.

221723265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7564 (or 3772 counting only the distinct ones).

The product of its digits is 604800, while the sum is 43.

The spelling of 221723265625 in words is "two hundred twenty-one billion, seven hundred twenty-three million, two hundred sixty-five thousand, six hundred twenty-five".