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228363840 = 2633526431
BaseRepresentation
bin11011001110010…
…00111001000000
3120220201002022000
431213020321000
5431430120330
634354344000
75442026535
oct1547107100
9526632260
10228363840
111079a6151
126458b000
1338408643
1422486d8c
15150ad560
hexd9c8e40

228363840 has 112 divisors (see below), whose sum is σ = 805647360. Its totient is φ = 60894720.

The previous prime is 228363833. The next prime is 228363859. The reversal of 228363840 is 48363822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228363795 and 228363804.

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, 4576 + ... + 21855.

It is an arithmetic number, because the mean of its divisors is an integer number (7193280).

Almost surely, 2228363840 is an apocalyptic number.

228363840 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 228363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402823680).

228363840 is an abundant number, since it is smaller than the sum of its proper divisors (577283520).

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

228363840 is a wasteful number, since it uses less digits than its factorization.

228363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26457 (or 26441 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 228363840 is about 15111.7120141961. The cubic root of 228363840 is about 611.2362637585.

The spelling of 228363840 in words is "two hundred twenty-eight million, three hundred sixty-three thousand, eight hundred forty".

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 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 26431 52862 79293 105724 132155 158586 211448 237879 264310 317172 396465 422896 475758 528620 634344 713637 792930 845792 951516 1057240 1189395 1268688 1427274 1585860 1691584 1903032 2114480 2378790 2537376 2854548 3171720 3568185 3806064 4228960 4757580 5074752 5709096 6343440 7136370 7612128 8457920 9515160 11418192 12686880 14272740 15224256 19030320 22836384 25373760 28545480 38060640 45672768 57090960 76121280 114181920 228363840