221590971000 has 1536 divisors, whose sum is σ = 961602969600. Its totient is φ = 46581350400.

The previous prime is 221590970959. The next prime is 221590971013. The reversal of 221590971000 is 179095122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2284442952 + ... + 2284443048.

It is an arithmetic number, because the mean of its divisors is an integer number (626043600).

Almost surely, 2^221590971000 is an apocalyptic number.

221590971000 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 221590971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480801484800).

221590971000 is an abundant number, since it is smaller than the sum of its proper divisors (740011998600).

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

221590971000 is a wasteful number, since it uses less digits than its factorization.

221590971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 221590971000 in words is "two hundred twenty-one billion, five hundred ninety million, nine hundred seventy-one thousand".