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228873260 = 225711331449
BaseRepresentation
bin11011010010001…
…01010000101100
3120221122222002102
431221011100230
5432042421020
634413314232
75446250660
oct1551052054
9527588072
10228873260
11108213960
1264795978
1338556485
142257a8a0
151515e475
hexda4542c

228873260 has 96 divisors (see below), whose sum is σ = 602380800. Its totient is φ = 70963200.

The previous prime is 228873241. The next prime is 228873269. The reversal of 228873260 is 62378822.

It is not an unprimeable number, because it can be changed into a prime (228873269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509516 + ... + 509964.

It is an arithmetic number, because the mean of its divisors is an integer number (6274800).

Almost surely, 2228873260 is an apocalyptic number.

228873260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228873260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301190400).

228873260 is an abundant number, since it is smaller than the sum of its proper divisors (373507540).

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

228873260 is a wasteful number, since it uses less digits than its factorization.

228873260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 228873260 is about 15128.5577633825. The cubic root of 228873260 is about 611.6904289643.

The spelling of 228873260 in words is "two hundred twenty-eight million, eight hundred seventy-three thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 331 385 449 662 770 898 1324 1540 1655 1796 2245 2317 3143 3310 3641 4490 4634 4939 6286 6620 7282 8980 9268 9878 11585 12572 14564 15715 18205 19756 23170 24695 25487 31430 34573 36410 46340 49390 50974 62860 69146 72820 98780 101948 127435 138292 148619 172865 254870 297238 345730 509740 594476 691460 743095 1040333 1486190 1634809 2080666 2972380 3269618 4161332 5201665 6539236 8174045 10403330 11443663 16348090 20806660 22887326 32696180 45774652 57218315 114436630 228873260