228333540 has 96 divisors (see below), whose sum is σ = 662981760. Its totient is φ = 58679296.

The previous prime is 228333517. The next prime is 228333541. The reversal of 228333540 is 45333822.

It is a super-3 number, since 3×228333540³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 228333498 and 228333507.

It is not an unprimeable number, because it can be changed into a prime (228333541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187012 + ... + 188228.

It is an arithmetic number, because the mean of its divisors is an integer number (6906060).

Almost surely, 2^228333540 is an apocalyptic number.

228333540 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 228333540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331490880).

228333540 is an abundant number, since it is smaller than the sum of its proper divisors (434648220).

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

228333540 is a wasteful number, since it uses less digits than its factorization.

228333540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 228333540 is about 15110.7094472761. The cubic root of 228333540 is about 611.2092290085.

The spelling of 228333540 in words is "two hundred twenty-eight million, three hundred thirty-three thousand, five hundred forty".