221625163162300 has 144 divisors (see below), whose sum is σ = 517410963578880. Its totient is φ = 82149409440000.

The previous prime is 221625163162217. The next prime is 221625163162303. The reversal of 221625163162300 is 3261361526122.

It is a super-2 number, since 2×221625163162300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221625163162303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10664250 + ... + 23600350.

It is an arithmetic number, because the mean of its divisors is an integer number (3593131691520).

Almost surely, 2^{221625163162300} is an apocalyptic number.

221625163162300 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 221625163162300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258705481789440).

221625163162300 is an abundant number, since it is smaller than the sum of its proper divisors (295785800416580).

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

221625163162300 is a wasteful number, since it uses less digits than its factorization.

221625163162300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936332 (or 12936325 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 221625163162300 in words is "two hundred twenty-one trillion, six hundred twenty-five billion, one hundred sixty-three million, one hundred sixty-two thousand, three hundred".