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228124338 = 231383167211
BaseRepresentation
bin11011001100011…
…10011010110010
3120220020220202120
431212032122302
5431344434323
634345255110
75440011351
oct1546163262
9526226676
10228124338
11107852212
1264494496
1338353620
1422423998
15150625e3
hexd98e6b2

228124338 has 64 divisors (see below), whose sum is σ = 502612992. Its totient is φ = 68604480.

The previous prime is 228124313. The next prime is 228124339. The reversal of 228124338 is 833421822.

It is a junction number, because it is equal to n+sod(n) for n = 228124299 and 228124308.

It is not an unprimeable number, because it can be changed into a prime (228124339) 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, 1081053 + ... + 1081263.

It is an arithmetic number, because the mean of its divisors is an integer number (7853328).

Almost surely, 2228124338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228124338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251306496).

228124338 is an abundant number, since it is smaller than the sum of its proper divisors (274488654).

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

228124338 is a wasteful number, since it uses less digits than its factorization.

228124338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its digits is 18432, while the sum is 33.

The square root of 228124338 is about 15103.7855519734. The cubic root of 228124338 is about 611.0225061645.

The spelling of 228124338 in words is "two hundred twenty-eight million, one hundred twenty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 83 166 167 211 249 334 422 498 501 633 1002 1079 1266 2158 2171 2743 3237 4342 5486 6474 6513 8229 13026 13861 16458 17513 27722 35026 35237 41583 52539 70474 83166 105078 105711 180193 211422 227669 360386 455338 458081 540579 683007 916162 1081158 1366014 1374243 2748486 2924671 5849342 8774013 17548026 38020723 76041446 114062169 228124338