221334432 has 48 divisors (see below), whose sum is σ = 633824352. Its totient is φ = 67070720.

The previous prime is 221334431. The next prime is 221334437. The reversal of 221334432 is 234433122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221334431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103743 + ... + 105854.

It is an arithmetic number, because the mean of its divisors is an integer number (13204674).

Almost surely, 2^221334432 is an apocalyptic number.

221334432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221334432 is an abundant number, since it is smaller than the sum of its proper divisors (412489920).

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

221334432 is a wasteful number, since it uses less digits than its factorization.

221334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209621 (or 209613 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 221334432 is about 14877.3126605580. The cubic root of 221334432 is about 604.8991767875.

Adding to 221334432 its reverse (234433122), we get a palindrome (455767554).

It can be divided in two parts, 22133 and 4432, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 221334432 in words is "two hundred twenty-one million, three hundred thirty-four thousand, four hundred thirty-two".