Search a number
-
+
228745728 = 293316547
BaseRepresentation
bin11011010001001…
…10001000000000
3120221102111011000
431220212020000
5432024330403
634410452000
75445210111
oct1550461000
9527374130
10228745728
11108137062
1264734000
1338510403
1422546208
15151367a3
hexda26200

228745728 has 80 divisors (see below), whose sum is σ = 677144160. Its totient is φ = 76243968.

The previous prime is 228745717. The next prime is 228745739. The reversal of 228745728 is 827547822.

228745728 is a `hidden beast` number, since 2 + 2 + 8 + 74 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (228745717) and next prime (228745739).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5551 + ... + 22097.

It is an arithmetic number, because the mean of its divisors is an integer number (8464302).

Almost surely, 2228745728 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 228745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338572080).

228745728 is an abundant number, since it is smaller than the sum of its proper divisors (448398432).

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

228745728 is an equidigital number, since it uses as much as digits as its factorization.

228745728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16574 (or 16552 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 228745728 is about 15124.3422336312. The cubic root of 228745728 is about 611.5767931501.

The spelling of 228745728 in words is "two hundred twenty-eight million, seven hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 16547 33094 49641 66188 99282 132376 148923 198564 264752 297846 397128 446769 529504 595692 794256 893538 1059008 1191384 1588512 1787076 2118016 2382768 3177024 3574152 4236032 4765536 6354048 7148304 8472064 9531072 12708096 14296608 19062144 25416192 28593216 38124288 57186432 76248576 114372864 228745728