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228338460 = 223357292083
BaseRepresentation
bin11011001110000…
…10101100011100
3120220122210111000
431213002230130
5431423312320
634354030300
75441562540
oct1547025434
9526583430
10228338460
11107989079
1264578390
13383c9c1c
142247ba20
15150a5c90
hexd9c2b1c

228338460 has 192 divisors, whose sum is σ = 840268800. Its totient is φ = 50367744.

The previous prime is 228338443. The next prime is 228338483. The reversal of 228338460 is 64833822.

228338460 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2283384603 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108579 + ... + 110661.

It is an arithmetic number, because the mean of its divisors is an integer number (4376400).

Almost surely, 2228338460 is an apocalyptic number.

228338460 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 228338460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420134400).

228338460 is an abundant number, since it is smaller than the sum of its proper divisors (611930340).

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

228338460 is a wasteful number, since it uses less digits than its factorization.

228338460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 228338460 is about 15110.8722448441. The cubic root of 228338460 is about 611.2136189721.

The spelling of 228338460 in words is "two hundred twenty-eight million, three hundred thirty-eight thousand, four hundred sixty".