220235904 has 192 divisors, whose sum is σ = 748500480. Its totient is φ = 60825600.

The previous prime is 220235863. The next prime is 220235921. The reversal of 220235904 is 409532022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249544 + ... + 250424.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2^220235904 is an apocalyptic number.

220235904 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 220235904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

220235904 is an abundant number, since it is smaller than the sum of its proper divisors (528264576).

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

220235904 is a wasteful number, since it uses less digits than its factorization.

220235904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 220235904 is about 14840.3471657505. The cubic root of 220235904 is about 603.8967705106.

Adding to 220235904 its reverse (409532022), we get a palindrome (629767926).

The spelling of 220235904 in words is "two hundred twenty million, two hundred thirty-five thousand, nine hundred four".