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228831408 = 24321329403
BaseRepresentation
bin11011010001110…
…11000010110000
3120221120211200100
431220323002300
5432040101113
634412352400
75446014651
oct1550730260
9527524610
10228831408
11108195473
1264775700
1338540400
1422569528
1515151d73
hexda3b0b0

228831408 has 90 divisors (see below), whose sum is σ = 693535596. Its totient is φ = 70402176.

The previous prime is 228831389. The next prime is 228831409. The reversal of 228831408 is 804138822.

It is a happy number.

228831408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (228831409) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 19635 + ... + 29037.

Almost surely, 2228831408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228831408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346767798).

228831408 is an abundant number, since it is smaller than the sum of its proper divisors (464704188).

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

228831408 is a wasteful number, since it uses less digits than its factorization.

228831408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 228831408 is about 15127.1744883174. The cubic root of 228831408 is about 611.6531419109.

The spelling of 228831408 in words is "two hundred twenty-eight million, eight hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 9403 12168 18806 24336 28209 37612 56418 75224 84627 112836 122239 150448 169254 225672 244478 338508 366717 451344 488956 677016 733434 977912 1100151 1354032 1466868 1589107 1955824 2200302 2933736 3178214 4400604 4767321 5867472 6356428 8801208 9534642 12712856 14301963 17602416 19069284 25425712 28603926 38138568 57207852 76277136 114415704 228831408