Search a number
-
+
2226012012 = 2232726333587
BaseRepresentation
bin1000010010101110…
…0011111101101100
312202010122010102100
42010223203331230
514024324341022
61004515055100
7106106534640
oct20453437554
95663563370
102226012012
11a42586854
125215a1490
1329623b393
141718ccc20
15d06591ac
hex84ae3f6c

2226012012 has 72 divisors (see below), whose sum is σ = 6455344896. Its totient is φ = 633566304.

The previous prime is 2226011989. The next prime is 2226012037. The reversal of 2226012012 is 2102106222.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 49483 + ... + 83069.

It is an arithmetic number, because the mean of its divisors is an integer number (89657568).

Almost surely, 22226012012 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 2226012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227672448).

2226012012 is an abundant number, since it is smaller than the sum of its proper divisors (4229332884).

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

2226012012 is a wasteful number, since it uses less digits than its factorization.

2226012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33867 (or 33862 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2226012012 is about 47180.6317465123. The cubic root of 2226012012 is about 1305.6972853523.

Adding to 2226012012 its reverse (2102106222), we get a palindrome (4328118234).

The spelling of 2226012012 in words is "two billion, two hundred twenty-six million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 263 526 789 1052 1578 1841 2367 3156 3682 4734 5523 7364 9468 11046 16569 22092 33138 33587 66276 67174 100761 134348 201522 235109 302283 403044 470218 604566 705327 940436 1209132 1410654 2115981 2821308 4231962 8463924 8833381 17666762 26500143 35333524 53000286 61833667 79500429 106000572 123667334 159000858 185501001 247334668 318001716 371002002 556503003 742004004 1113006006 2226012012