221000150400 has 96 divisors (see below), whose sum is σ = 727919277000. Its totient is φ = 58933370880.

The previous prime is 221000150387. The next prime is 221000150453. The reversal of 221000150400 is 4051000122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221000150400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11500825 + ... + 11520024.

Almost surely, 2^221000150400 is an apocalyptic number.

221000150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000150400 is an abundant number, since it is smaller than the sum of its proper divisors (506919126600).

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

221000150400 is a wasteful number, since it uses less digits than its factorization.

221000150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23020876 (or 23020859 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 221000150400 its reverse (4051000122), we get a palindrome (225051150522).

The spelling of 221000150400 in words is "two hundred twenty-one billion, one hundred fifty thousand, four hundred".