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212210333000 = 23538315431657
BaseRepresentation
bin1100010110100010111…
…0001011010101001000
3202021202022011212110222
43011220232023111020
511434101321124000
6241253231525212
721221525032331
oct3055056132510
9667668155428
10212210333000
1181aa82230a6
1235164989808
131701bc182a3
14a3b1a11288
1557c03e0a85
hex3168b8b548

212210333000 has 128 divisors (see below), whose sum is σ = 503184165120. Its totient is φ = 83756505600.

The previous prime is 212210332993. The next prime is 212210333029. The reversal of 212210333000 is 333012212.

It is a self number, because there is not a number n which added to its sum of digits gives 212210333000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128068172 + ... + 128069828.

It is an arithmetic number, because the mean of its divisors is an integer number (3931126290).

Almost surely, 2212210333000 is an apocalyptic number.

212210333000 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 212210333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251592082560).

212210333000 is an abundant number, since it is smaller than the sum of its proper divisors (290973832120).

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

212210333000 is a wasteful number, since it uses less digits than its factorization.

212210333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 212210333000 its reverse (333012212), we get a palindrome (212543345212).

The spelling of 212210333000 in words is "two hundred twelve billion, two hundred ten million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1543 1657 1660 2075 3086 3314 3320 4150 6172 6628 7715 8285 8300 10375 12344 13256 15430 16570 16600 20750 30860 33140 38575 41425 41500 61720 66280 77150 82850 83000 128069 137531 154300 165700 192875 207125 256138 275062 308600 331400 385750 414250 512276 550124 640345 687655 771500 828500 1024552 1100248 1280690 1375310 1543000 1657000 2556751 2561380 2750620 3201725 3438275 5113502 5122760 5501240 6403450 6876550 10227004 12783755 12806900 13753100 16008625 17191375 20454008 25567510 25613800 27506200 32017250 34382750 51135020 63918775 64034500 68765500 102270040 127837550 128069000 137531000 212210333 255675100 319593875 424420666 511350200 639187750 848841332 1061051665 1278375500 1697682664 2122103330 2556751000 4244206660 5305258325 8488413320 10610516650 21221033300 26526291625 42442066600 53052583250 106105166500 212210333000