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228652688 = 241119101677
BaseRepresentation
bin11011010000011…
…11011010010000
3120221020202112002
431220033122100
5432013341223
634404453132
75444341625
oct1550173220
9527222462
10228652688
11108083170
12646aa1a8
13384a9c64
142252034c
1515118e28
hexda0f690

228652688 has 80 divisors (see below), whose sum is σ = 514520640. Its totient is φ = 97344000.

The previous prime is 228652667. The next prime is 228652741. The reversal of 228652688 is 886256822.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 337406 + ... + 338082.

It is an arithmetic number, because the mean of its divisors is an integer number (6431508).

Almost surely, 2228652688 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 228652688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257260320).

228652688 is an abundant number, since it is smaller than the sum of its proper divisors (285867952).

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

228652688 is a wasteful number, since it uses less digits than its factorization.

228652688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its digits is 737280, while the sum is 47.

The square root of 228652688 is about 15121.2660845579. The cubic root of 228652688 is about 611.4938643573.

The spelling of 228652688 in words is "two hundred twenty-eight million, six hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 101 152 176 202 209 304 404 418 677 808 836 1111 1354 1616 1672 1919 2222 2708 3344 3838 4444 5416 7447 7676 8888 10832 12863 14894 15352 17776 21109 25726 29788 30704 42218 51452 59576 68377 84436 102904 119152 136754 141493 168872 205808 273508 282986 337744 547016 565972 752147 1094032 1131944 1299163 1504294 2263888 2598326 3008588 5196652 6017176 10393304 12034352 14290793 20786608 28581586 57163172 114326344 228652688