221523010400 has 144 divisors (see below), whose sum is σ = 549009861120. Its totient is φ = 87265651200.

The previous prime is 221523010361. The next prime is 221523010403. The reversal of 221523010400 is 4010325122.

221523010400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221523010403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75372131 + ... + 75375069.

It is an arithmetic number, because the mean of its divisors is an integer number (3812568480).

Almost surely, 2^221523010400 is an apocalyptic number.

221523010400 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 221523010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274504930560).

221523010400 is an abundant number, since it is smaller than the sum of its proper divisors (327486850720).

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

221523010400 is a wasteful number, since it uses less digits than its factorization.

221523010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 221523010400 its reverse (4010325122), we get a palindrome (225533335522).

The spelling of 221523010400 in words is "two hundred twenty-one billion, five hundred twenty-three million, ten thousand, four hundred".