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228286820 = 22511414341
BaseRepresentation
bin11011001101101…
…10000101100100
3120220120011122102
431212312011210
5431420134240
634352551232
75441256146
oct1546660544
9526504572
10228286820
111079532a3
1264552518
13383ac578
1422466c96
1515095815
hexd9b6164

228286820 has 12 divisors (see below), whose sum is σ = 479402364. Its totient is φ = 91314720.

The previous prime is 228286813. The next prime is 228286823. The reversal of 228286820 is 28682822.

228286820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 174028864 + 54257956 = 13192^2 + 7366^2 .

It is a super-2 number, since 2×2282868202 = 104229744371424800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228286823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5707151 + ... + 5707190.

It is an arithmetic number, because the mean of its divisors is an integer number (39950197).

Almost surely, 2228286820 is an apocalyptic number.

228286820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228286820 is an abundant number, since it is smaller than the sum of its proper divisors (251115544).

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

228286820 is a wasteful number, since it uses less digits than its factorization.

228286820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11414350 (or 11414348 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 228286820 is about 15109.1634447444. The cubic root of 228286820 is about 611.1675390564.

The spelling of 228286820 in words is "two hundred twenty-eight million, two hundred eighty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 11414341 22828682 45657364 57071705 114143410 228286820