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228672288 = 25331320359
BaseRepresentation
bin11011010000101…
…00001100100000
3120221021202102000
431220110030200
5432020003123
634405124000
75444453025
oct1550241440
9527252360
10228672288
11108096969
12646b9600
13384b5b60
142252754c
151511eb43
hexda14320

228672288 has 96 divisors (see below), whose sum is σ = 718300800. Its totient is φ = 70357248.

The previous prime is 228672271. The next prime is 228672313. The reversal of 228672288 is 882276822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053 + ... + 21411.

It is an arithmetic number, because the mean of its divisors is an integer number (7482300).

Almost surely, 2228672288 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 228672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359150400).

228672288 is an abundant number, since it is smaller than the sum of its proper divisors (489628512).

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

228672288 is a wasteful number, since it uses less digits than its factorization.

228672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20391 (or 20377 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 228672288 is about 15121.9141645494. The cubic root of 228672288 is about 611.5113361794.

The spelling of 228672288 in words is "two hundred twenty-eight million, six hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 20359 40718 61077 81436 122154 162872 183231 244308 264667 325744 366462 488616 529334 549693 651488 732924 794001 977232 1058668 1099386 1465848 1588002 1954464 2117336 2198772 2382003 2931696 3176004 4234672 4397544 4764006 5863392 6352008 7146009 8469344 8795088 9528012 12704016 14292018 17590176 19056024 25408032 28584036 38112048 57168072 76224096 114336144 228672288