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2187021330 = 2335132112953
BaseRepresentation
bin1000001001011011…
…0100110000010010
312122102021012021000
42002112310300102
513434334140310
61001003242430
7105124242324
oct20226646022
95572235230
102187021330
11a2257554a
12510519416
1328b139080
1416a65d614
15cc0064c0
hex825b4c12

2187021330 has 128 divisors (see below), whose sum is σ = 6312579840. Its totient is φ = 535610880.

The previous prime is 2187021313. The next prime is 2187021337. The reversal of 2187021330 is 331207812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2187021294 and 2187021303.

It is not an unprimeable number, because it can be changed into a prime (2187021337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739134 + ... + 742086.

It is an arithmetic number, because the mean of its divisors is an integer number (49317030).

Almost surely, 22187021330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156289920).

2187021330 is an abundant number, since it is smaller than the sum of its proper divisors (4125558510).

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

2187021330 is a wasteful number, since it uses less digits than its factorization.

2187021330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2187021330 is about 46765.5998571600. The cubic root of 2187021330 is about 1298.0288331784.

The spelling of 2187021330 in words is "two billion, one hundred eighty-seven million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 211 234 270 351 390 422 585 633 702 1055 1170 1266 1755 1899 2110 2743 2953 3165 3510 3798 5486 5697 5906 6330 8229 8859 9495 11394 13715 14765 16458 17718 18990 24687 26577 27430 28485 29530 38389 41145 44295 49374 53154 56970 74061 76778 79731 82290 88590 115167 123435 132885 148122 159462 191945 230334 246870 265770 345501 370305 383890 398655 575835 623083 691002 740610 797310 1036503 1151670 1246166 1727505 1869249 2073006 3115415 3455010 3738498 5182515 5607747 6230830 8100079 9346245 10365030 11215494 16200158 16823241 18692490 24300237 28038735 33646482 40500395 48600474 56077470 72900711 81000790 84116205 121501185 145801422 168232410 218702133 243002370 364503555 437404266 729007110 1093510665 2187021330