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2220111012 = 2237219210459
BaseRepresentation
bin1000010001010100…
…0011010010100100
312201201112022202210
42010111003102210
514021322023022
61004144403420
7106005426600
oct20425032244
95651468683
102220111012
11a3a216299
1251b616570
13294c53472
14170bd4500
15ced90a0c
hex845434a4

2220111012 has 108 divisors (see below), whose sum is σ = 6360474960. Its totient is φ = 600874848.

The previous prime is 2220110989. The next prime is 2220111017. The reversal of 2220111012 is 2101110222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2220111017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207039 + ... + 217497.

Almost surely, 22220111012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180237480).

2220111012 is an abundant number, since it is smaller than the sum of its proper divisors (4140363948).

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

2220111012 is a wasteful number, since it uses less digits than its factorization.

2220111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10518 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2220111012 is about 47118.0539920740. The cubic root of 2220111012 is about 1304.5424940210.

Adding to 2220111012 its reverse (2101110222), we get a palindrome (4321221234).

The spelling of 2220111012 in words is "two billion, two hundred twenty million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 361 399 532 588 722 798 931 1083 1444 1596 1862 2166 2527 2793 3724 4332 5054 5586 7581 10108 10459 11172 15162 17689 20918 30324 31377 35378 41836 53067 62754 70756 73213 106134 125508 146426 198721 212268 219639 292852 397442 439278 512491 596163 794884 878556 1024982 1192326 1391047 1537473 2049964 2384652 2782094 3074946 3775699 4173141 5564188 6149892 7551398 8346282 9737329 11327097 15102796 16692564 19474658 22654194 26429893 29211987 38949316 45308388 52859786 58423974 79289679 105719572 116847948 158579358 185009251 317158716 370018502 555027753 740037004 1110055506 2220111012