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228227580 = 223257315843
BaseRepresentation
bin11011001101001…
…11100111111100
3120220110011101100
431212213213330
5431411240310
634351413100
75440621350
oct1546474774
9526404340
10228227580
11107912839
1264524190
133838b609
142244d460
1515082ec0
hexd9a79fc

228227580 has 144 divisors (see below), whose sum is σ = 816850944. Its totient is φ = 50474880.

The previous prime is 228227557. The next prime is 228227599. The reversal of 228227580 is 85722822.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36139 + ... + 41981.

It is an arithmetic number, because the mean of its divisors is an integer number (5672576).

Almost surely, 2228227580 is an apocalyptic number.

228227580 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 228227580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408425472).

228227580 is an abundant number, since it is smaller than the sum of its proper divisors (588623364).

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

228227580 is a wasteful number, since it uses less digits than its factorization.

228227580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 228227580 is about 15107.2029178137. The cubic root of 228227580 is about 611.1146688743.

The spelling of 228227580 in words is "two hundred twenty-eight million, two hundred twenty-seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 5843 6510 7812 9765 11686 13020 17529 19530 23372 29215 35058 39060 40901 52587 58430 70116 81802 87645 105174 116860 122703 163604 175290 181133 204505 210348 245406 262935 350580 362266 368109 409010 490812 525870 543399 613515 724532 736218 818020 905665 1051740 1086798 1227030 1267931 1472436 1630197 1811330 1840545 2173596 2454060 2535862 2716995 3260394 3622660 3681090 3803793 5071724 5433990 6339655 6520788 7362180 7607586 8150985 10867980 11411379 12679310 15215172 16301970 19018965 22822758 25358620 32603940 38037930 45645516 57056895 76075860 114113790 228227580