Search a number
-
+
228610080 = 2533552919
BaseRepresentation
bin11011010000001…
…01000000100000
3120221011121002000
431220011000200
5432011010310
634403524000
75444103456
oct1550050040
9527147060
10228610080
11108054156
1264689600
133849374a
142250c9d6
151510b4c0
hexda05020

228610080 has 96 divisors (see below), whose sum is σ = 800150400. Its totient is φ = 60961536.

The previous prime is 228610069. The next prime is 228610153. The reversal of 228610080 is 80016822.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22140 + ... + 30779.

It is an arithmetic number, because the mean of its divisors is an integer number (8334900).

Almost surely, 2228610080 is an apocalyptic number.

228610080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228610080 is an abundant number, since it is smaller than the sum of its proper divisors (571540320).

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

228610080 is a wasteful number, since it uses less digits than its factorization.

228610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52943 (or 52929 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 228610080 is about 15119.8571421823. The cubic root of 228610080 is about 611.4558793106.

The spelling of 228610080 in words is "two hundred twenty-eight million, six hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 52919 105838 158757 211676 264595 317514 423352 476271 529190 635028 793785 846704 952542 1058380 1270056 1428813 1587570 1693408 1905084 2116760 2381355 2540112 2857626 3175140 3810168 4233520 4762710 5080224 5715252 6350280 7144065 7620336 8467040 9525420 11430504 12700560 14288130 15240672 19050840 22861008 25401120 28576260 38101680 45722016 57152520 76203360 114305040 228610080