221406947100 has 432 divisors, whose sum is σ = 734777971200. Its totient is φ = 57815493120.

The previous prime is 221406946991. The next prime is 221406947129. The reversal of 221406947100 is 1749604122.

It is a happy number.

It is a super-3 number, since 3×221406947100³ (a number of 35 digits) contains 333 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389115616 + ... + 389116184.

Almost surely, 2^221406947100 is an apocalyptic number.

221406947100 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 221406947100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367388985600).

221406947100 is an abundant number, since it is smaller than the sum of its proper divisors (513371024100).

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

221406947100 is a wasteful number, since it uses less digits than its factorization.

221406947100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 885 counting only the distinct ones).

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

The spelling of 221406947100 in words is "two hundred twenty-one billion, four hundred six million, nine hundred forty-seven thousand, one hundred".