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667228020 = 2235157193367
BaseRepresentation
bin100111110001010…
…001011101110100
31201111111200202220
4213301101131310
52331302244040
6150113002340
722351226124
oct4761213564
91644450686
10667228020
113126a6318
121675533b0
13a83067a4
1464886c84
153d89c2d0
hex27c51774

667228020 has 96 divisors (see below), whose sum is σ = 1895029248. Its totient is φ = 175398912.

The previous prime is 667228013. The next prime is 667228039. The reversal of 667228020 is 20822766.

It is a congruent number.

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, 1817877 + ... + 1818243.

It is an arithmetic number, because the mean of its divisors is an integer number (19739888).

Almost surely, 2667228020 is an apocalyptic number.

667228020 is a gapful number since it is divisible by the number (60) 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 667228020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947514624).

667228020 is an abundant number, since it is smaller than the sum of its proper divisors (1227801228).

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

667228020 is a wasteful number, since it uses less digits than its factorization.

667228020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 667228020 is about 25830.7572479012. The cubic root of 667228020 is about 873.8255896012.

The spelling of 667228020 in words is "six hundred sixty-seven million, two hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 193 314 367 386 471 579 628 734 772 785 942 965 1101 1158 1468 1570 1835 1884 1930 2202 2316 2355 2895 3140 3670 3860 4404 4710 5505 5790 7340 9420 11010 11580 22020 30301 57619 60602 70831 90903 115238 121204 141662 151505 172857 181806 212493 230476 283324 288095 303010 345714 354155 363612 424986 454515 576190 606020 691428 708310 849972 864285 909030 1062465 1152380 1416620 1728570 1818060 2124930 3457140 4249860 11120467 22240934 33361401 44481868 55602335 66722802 111204670 133445604 166807005 222409340 333614010 667228020