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228332664 = 233274491009
BaseRepresentation
bin11011001110000…
…01010001111000
3120220122111112100
431213001101320
5431423121124
634353543400
75441536620
oct1547012170
9526574470
10228332664
1110798478a
1264574b60
13383c73b1
1422479880
15150a41c9
hexd9c1478

228332664 has 96 divisors (see below), whose sum is σ = 709020000. Its totient is φ = 65028096.

The previous prime is 228332651. The next prime is 228332693. The reversal of 228332664 is 466233822.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 225792 + ... + 226800.

It is an arithmetic number, because the mean of its divisors is an integer number (7385625).

Almost surely, 2228332664 is an apocalyptic number.

228332664 is a gapful number since it is divisible by the number (24) 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 228332664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354510000).

228332664 is an abundant number, since it is smaller than the sum of its proper divisors (480687336).

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

228332664 is a wasteful number, since it uses less digits than its factorization.

228332664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1470 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 228332664 is about 15110.6804611837. The cubic root of 228332664 is about 611.2084473742.

The spelling of 228332664 in words is "two hundred twenty-eight million, three hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 449 504 898 1009 1347 1796 2018 2694 3027 3143 3592 4036 4041 5388 6054 6286 7063 8072 8082 9081 9429 10776 12108 12572 14126 16164 18162 18858 21189 24216 25144 28252 28287 32328 36324 37716 42378 56504 56574 63567 72648 75432 84756 113148 127134 169512 226296 254268 453041 508536 906082 1359123 1812164 2718246 3171287 3624328 4077369 5436492 6342574 8154738 9513861 10872984 12685148 16309476 19027722 25370296 28541583 32618952 38055444 57083166 76110888 114166332 228332664