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228648684 = 223113171787
BaseRepresentation
bin11011010000011…
…10011011101100
3120221020120000210
431220032123230
5432013224214
634404422420
75444324145
oct1550163354
9527216023
10228648684
11108080160
12646a7a10
13384a81a4
142251cacc
1515117b59
hexda0e6ec

228648684 has 96 divisors (see below), whose sum is σ = 610025472. Its totient is φ = 66024000.

The previous prime is 228648643. The next prime is 228648697. The reversal of 228648684 is 486846822.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290139 + ... + 290925.

It is an arithmetic number, because the mean of its divisors is an integer number (6354432).

Almost surely, 2228648684 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 228648684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305012736).

228648684 is an abundant number, since it is smaller than the sum of its proper divisors (381376788).

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

228648684 is a wasteful number, since it uses less digits than its factorization.

228648684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 228648684 is about 15121.1336876572. The cubic root of 228648684 is about 611.4902949908.

The spelling of 228648684 in words is "two hundred twenty-eight million, six hundred forty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 71 93 124 132 142 186 213 284 341 372 426 682 781 787 852 1023 1364 1562 1574 2046 2201 2343 2361 3124 3148 4092 4402 4686 4722 6603 8657 8804 9372 9444 13206 17314 24211 24397 25971 26412 34628 48422 48794 51942 55877 72633 73191 96844 97588 103884 111754 145266 146382 167631 223508 268367 290532 292764 335262 536734 614647 670524 805101 1073468 1229294 1610202 1732187 1843941 2458588 3220404 3464374 3687882 5196561 6928748 7375764 10393122 19054057 20786244 38108114 57162171 76216228 114324342 228648684