221230464 has 192 divisors, whose sum is σ = 728720640. Its totient is φ = 58226688.

The previous prime is 221230459. The next prime is 221230481. The reversal of 221230464 is 464032122.

221230464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454029 + ... + 454515.

It is an arithmetic number, because the mean of its divisors is an integer number (3795420).

Almost surely, 2^221230464 is an apocalyptic number.

221230464 is a gapful number since it is divisible by the number (24) 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 221230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364360320).

221230464 is an abundant number, since it is smaller than the sum of its proper divisors (507490176).

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

221230464 is a wasteful number, since it uses less digits than its factorization.

221230464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 221230464 is about 14873.8180706905. The cubic root of 221230464 is about 604.8044483310.

Adding to 221230464 its reverse (464032122), we get a palindrome (685262586).

The spelling of 221230464 in words is "two hundred twenty-one million, two hundred thirty thousand, four hundred sixty-four".