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2213315000 = 235413172003
BaseRepresentation
bin1000001111101100…
…1000000110111000
312201020202001101122
42003323020012320
514013102040000
61003343004412
7105563603261
oct20373100670
95636661348
102213315000
11a363a4356
12519299708
13293714060
1416dd45968
15ce49c085
hex83ec81b8

2213315000 has 160 divisors (see below), whose sum is σ = 5916168720. Its totient is φ = 768768000.

The previous prime is 2213314993. The next prime is 2213315059. The reversal of 2213315000 is 5133122.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2213315000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1103999 + ... + 1106001.

Almost surely, 22213315000 is an apocalyptic number.

2213315000 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 2213315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958084360).

2213315000 is an abundant number, since it is smaller than the sum of its proper divisors (3702853720).

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

2213315000 is a wasteful number, since it uses less digits than its factorization.

2213315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2213315000 is about 47045.8818601586. The cubic root of 2213315000 is about 1303.2100158847.

Adding to 2213315000 its reverse (5133122), we get a palindrome (2218448122).

The spelling of 2213315000 in words is "two billion, two hundred thirteen million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 125 130 136 170 200 221 250 260 325 340 425 442 500 520 625 650 680 850 884 1000 1105 1250 1300 1625 1700 1768 2003 2125 2210 2500 2600 3250 3400 4006 4250 4420 5000 5525 6500 8012 8125 8500 8840 10015 10625 11050 13000 16024 16250 17000 20030 21250 22100 26039 27625 32500 34051 40060 42500 44200 50075 52078 55250 65000 68102 80120 85000 100150 104156 110500 130195 136204 138125 170255 200300 208312 221000 250375 260390 272408 276250 340510 400600 442663 500750 520780 552500 650975 681020 851275 885326 1001500 1041560 1105000 1251875 1301950 1362040 1702550 1770652 2003000 2213315 2503750 2603900 3254875 3405100 3541304 4256375 4426630 5007500 5207800 6509750 6810200 8512750 8853260 10015000 11066575 13019500 16274375 17025500 17706520 21281875 22133150 26039000 32548750 34051000 42563750 44266300 55332875 65097500 85127500 88532600 110665750 130195000 170255000 221331500 276664375 442663000 553328750 1106657500 2213315000