208224120 has 128 divisors (see below), whose sum is σ = 678666240. Its totient is φ = 50803200.

The previous prime is 208224119. The next prime is 208224131. The reversal of 208224120 is 21422802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197595 + ... + 198645.

It is an arithmetic number, because the mean of its divisors is an integer number (5302080).

Almost surely, 2^208224120 is an apocalyptic number.

208224120 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 208224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339333120).

208224120 is an abundant number, since it is smaller than the sum of its proper divisors (470442120).

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

208224120 is a wasteful number, since it uses less digits than its factorization.

208224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 208224120 is about 14429.9729729477. The cubic root of 208224120 is about 592.7119432620.

Adding to 208224120 its reverse (21422802), we get a palindrome (229646922).

It can be divided in two parts, 20822 and 4120, that added together give a palindrome (24942).

The spelling of 208224120 in words is "two hundred eight million, two hundred twenty-four thousand, one hundred twenty".