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2213012010 = 2351167101991
BaseRepresentation
bin1000001111100111…
…1110001000101010
312201020011122202210
42003321332020222
514013012341020
61003332305550
7105561202026
oct20371761052
95636148683
102213012010
11a36207750
125191722b6
13293639181
1416dca7386
15ce43c3e0
hex83e7e22a

2213012010 has 128 divisors (see below), whose sum is σ = 5944762368. Its totient is φ = 522720000.

The previous prime is 2213011963. The next prime is 2213012017. The reversal of 2213012010 is 102103122.

2213012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2213012017) 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, 2232615 + ... + 2233605.

It is an arithmetic number, because the mean of its divisors is an integer number (46443456).

Almost surely, 22213012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972381184).

2213012010 is an abundant number, since it is smaller than the sum of its proper divisors (3731750358).

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

2213012010 is a wasteful number, since it uses less digits than its factorization.

2213012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2213012010 is about 47042.6615956198. The cubic root of 2213012010 is about 1303.1505458707.

Adding to 2213012010 its reverse (102103122), we get a palindrome (2315115132).

The spelling of 2213012010 in words is "two billion, two hundred thirteen million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 101 110 134 165 201 202 303 330 335 402 505 606 670 737 991 1005 1010 1111 1474 1515 1982 2010 2211 2222 2973 3030 3333 3685 4422 4955 5555 5946 6666 6767 7370 9910 10901 11055 11110 13534 14865 16665 20301 21802 22110 29730 32703 33330 33835 40602 54505 65406 66397 67670 74437 100091 101505 109010 132794 148874 163515 199191 200182 203010 223311 300273 327030 331985 372185 398382 446622 500455 600546 663970 730367 744370 995955 1000910 1101001 1116555 1460734 1501365 1991910 2191101 2202002 2233110 3002730 3303003 3651835 4382202 5505005 6606006 6706097 7303670 10955505 11010010 13412194 16515015 20118291 21911010 33030030 33530485 40236582 67060970 73767067 100591455 147534134 201182910 221301201 368835335 442602402 737670670 1106506005 2213012010