221233030400 has 108 divisors (see below), whose sum is σ = 549567567612. Its totient is φ = 88173035520.

The previous prime is 221233030399. The next prime is 221233030409. The reversal of 221233030400 is 4030332122.

It can be written as a sum of positive squares in 6 ways, for example, as 40070430976 + 181162599424 = 200176^2 + 425632^2 .

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 (221233030409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1710404 + ... + 1835196.

It is an arithmetic number, because the mean of its divisors is an integer number (5088588589).

Almost surely, 2^221233030400 is an apocalyptic number.

221233030400 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 221233030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274783783806).

221233030400 is an abundant number, since it is smaller than the sum of its proper divisors (328334537212).

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

221233030400 is a wasteful number, since it uses less digits than its factorization.

221233030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125096 (or 125077 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 221233030400 its reverse (4030332122), we get a palindrome (225263362522).

The spelling of 221233030400 in words is "two hundred twenty-one billion, two hundred thirty-three million, thirty thousand, four hundred".