228126624 has 144 divisors (see below), whose sum is σ = 675682560. Its totient is φ = 67302400.

The previous prime is 228126593. The next prime is 228126629. The reversal of 228126624 is 426621822.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (228126629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476017 + ... + 476495.

It is an arithmetic number, because the mean of its divisors is an integer number (4692240).

Almost surely, 2^228126624 is an apocalyptic number.

228126624 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 228126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337841280).

228126624 is an abundant number, since it is smaller than the sum of its proper divisors (447555936).

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

228126624 is a wasteful number, since it uses less digits than its factorization.

228126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 536 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 228126624 is about 15103.8612281761. The cubic root of 228126624 is about 611.0245471462.

The spelling of 228126624 in words is "two hundred twenty-eight million, one hundred twenty-six thousand, six hundred twenty-four".