228554920 has 128 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 79488000.

The previous prime is 228554873. The next prime is 228554927. The reversal of 228554920 is 29455822.

228554920 = T₁ + T₂ + ... + T₁₁₁₀.

228554920 is a nontrivial binomial coefficient, being equal to C(1112, 3).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 228554920.

It is not an unprimeable number, because it can be changed into a prime (228554927) by changing a digit.

It is the 1110-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644211 + ... + 1644349.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2^228554920 is an apocalyptic number.

228554920 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 228554920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

228554920 is an abundant number, since it is smaller than the sum of its proper divisors (357496280).

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

228554920 is a wasteful number, since it uses less digits than its factorization.

228554920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 228554920 is about 15118.0329408293. The cubic root of 228554920 is about 611.4066971407.

The spelling of 228554920 in words is "two hundred twenty-eight million, five hundred fifty-four thousand, nine hundred twenty".