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228144840 = 233571124691
BaseRepresentation
bin11011001100100…
…11011011001000
3120220021221212220
431212103123020
5431401113330
634345534040
75440125210
oct1546233310
9526257786
10228144840
11107866660
12644a4320
133835ca61
142242b240
1515068710
hexd9936c8

228144840 has 128 divisors (see below), whose sum is σ = 853355520. Its totient is φ = 47404800.

The previous prime is 228144823. The next prime is 228144857. The reversal of 228144840 is 48441822.

228144840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228144823) and next prime (228144857).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106 + ... + 21585.

It is an arithmetic number, because the mean of its divisors is an integer number (6666840).

Almost surely, 2228144840 is an apocalyptic number.

228144840 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 228144840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426677760).

228144840 is an abundant number, since it is smaller than the sum of its proper divisors (625210680).

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

228144840 is a wasteful number, since it uses less digits than its factorization.

228144840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24723 (or 24719 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 228144840 is about 15104.4642407468. The cubic root of 228144840 is about 611.0408102295.

The spelling of 228144840 in words is "two hundred twenty-eight million, one hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 24691 49382 74073 98764 123455 148146 172837 197528 246910 271601 296292 345674 370365 493820 518511 543202 592584 691348 740730 814803 864185 987640 1037022 1086404 1358005 1382696 1481460 1629606 1728370 1901207 2074044 2172808 2592555 2716010 2962920 3259212 3456740 3802414 4074015 4148088 5185110 5432020 5703621 6518424 6913480 7604828 8148030 9506035 10370220 10864040 11407242 15209656 16296060 19012070 20740440 22814484 28518105 32592120 38024140 45628968 57036210 76048280 114072420 228144840