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228000540 = 22355476947
BaseRepresentation
bin11011001011100…
…00001100011100
3120220000121221110
431211300030130
5431332004130
634342502020
75435654415
oct1545601434
9526017843
10228000540
111077781a9
1264434910
133830c181
14223d080c
151503aab0
hexd97031c

228000540 has 48 divisors (see below), whose sum is σ = 639660672. Its totient is φ = 60680256.

The previous prime is 228000533. The next prime is 228000559. The reversal of 228000540 is 45000822.

228000540 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

228000540 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29347 + ... + 36293.

It is an arithmetic number, because the mean of its divisors is an integer number (13326264).

Almost surely, 2228000540 is an apocalyptic number.

228000540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228000540 is an abundant number, since it is smaller than the sum of its proper divisors (411660132).

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

228000540 is a wasteful number, since it uses less digits than its factorization.

228000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7506 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 228000540 is about 15099.6867517177. The cubic root of 228000540 is about 610.9119567271.

The spelling of 228000540 in words is "two hundred twenty-eight million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 547 1094 1641 2188 2735 3282 5470 6564 6947 8205 10940 13894 16410 20841 27788 32820 34735 41682 69470 83364 104205 138940 208410 416820 3800009 7600018 11400027 15200036 19000045 22800054 38000090 45600108 57000135 76000180 114000270 228000540