288222100 has 18 divisors (see below), whose sum is σ = 625442174. Its totient is φ = 115288800.

The previous prime is 288222091. The next prime is 288222149. The reversal of 288222100 is 1222882.

It can be written as a sum of positive squares in 3 ways, for example, as 512656 + 287709444 = 716^2 + 16962^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1441011 + ... + 1441210.

Almost surely, 2^288222100 is an apocalyptic number.

288222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288222100 is an abundant number, since it is smaller than the sum of its proper divisors (337220074).

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

288222100 is a wasteful number, since it uses less digits than its factorization.

288222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882235 (or 2882228 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 288222100 is about 16977.1051713771. The cubic root of 288222100 is about 660.5551649654. Note that the first 3 decimals are identical.

Adding to 288222100 its reverse (1222882), we get a palindrome (289444982).

The spelling of 288222100 in words is "two hundred eighty-eight million, two hundred twenty-two thousand, one hundred".