228169920 has 448 divisors, whose sum is σ = 884846592. Its totient is φ = 49152000.

The previous prime is 228169919. The next prime is 228169927. The reversal of 228169920 is 29961822.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (228169927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5565100 + ... + 5565140.

It is an arithmetic number, because the mean of its divisors is an integer number (1975104).

Almost surely, 2^228169920 is an apocalyptic number.

228169920 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 228169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423296).

228169920 is an abundant number, since it is smaller than the sum of its proper divisors (656676672).

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

228169920 is a wasteful number, since it uses less digits than its factorization.

228169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 228169920 is about 15105.2944360578. The cubic root of 228169920 is about 611.0632000149.

The spelling of 228169920 in words is "two hundred twenty-eight million, one hundred sixty-nine thousand, nine hundred twenty".