Search a number
-
+
2212100010 = 233517481939
BaseRepresentation
bin1000001111011001…
…1111011110101010
312201011110022202000
42003312133132222
514012244200020
61003300551430
7105550353111
oct20366373652
95634408660
102212100010
11a3574452a
125189b2576
132933aa023
1416db0ac78
15ce30c090
hex83d9f7aa

2212100010 has 64 divisors (see below), whose sum is σ = 6245942400. Its totient is φ = 555192576.

The previous prime is 2212099991. The next prime is 2212100021. The reversal of 2212100010 is 100012122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2212099965 and 2212100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236380 + ... + 245559.

It is an arithmetic number, because the mean of its divisors is an integer number (97592850).

Almost surely, 22212100010 is an apocalyptic number.

2212100010 is an abundant number, since it is smaller than the sum of its proper divisors (4033842390).

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

2212100010 is a wasteful number, since it uses less digits than its factorization.

2212100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481972 (or 481966 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2212100010 is about 47032.9672676517. The cubic root of 2212100010 is about 1302.9715083434.

Adding to 2212100010 its reverse (100012122), we get a palindrome (2312112132).

The spelling of 2212100010 in words is "two billion, two hundred twelve million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 481939 963878 1445817 2409695 2891634 4337451 4819390 7229085 8192963 8674902 13012353 14458170 16385926 21687255 24578889 26024706 40964815 43374510 49157778 65061765 73736667 81929630 122894445 130123530 147473334 221210001 245788890 368683335 442420002 737366670 1106050005 2212100010