Search a number
-
+
2222104104 = 233411311743
BaseRepresentation
bin1000010001110010…
…1001111000101000
312201212021120210000
42010130221320220
514022324312404
61004255223000
7106031400423
oct20434517050
95655246700
102222104104
11a40357780
12520217a60
132954a06cc
141711929ba
15d0136339
hex84729e28

2222104104 has 80 divisors (see below), whose sum is σ = 6789784320. Its totient is φ = 673362720.

The previous prime is 2222104103. The next prime is 2222104133. The reversal of 2222104104 is 4014012222.

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

It is not an unprimeable number, because it can be changed into a prime (2222104103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148744 + ... + 162999.

It is an arithmetic number, because the mean of its divisors is an integer number (84872304).

Almost surely, 22222104104 is an apocalyptic number.

2222104104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2222104104 is an abundant number, since it is smaller than the sum of its proper divisors (4567680216).

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

2222104104 is a wasteful number, since it uses less digits than its factorization.

2222104104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311772 (or 311759 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2222104104 is about 47139.1992295160. The cubic root of 2222104104 is about 1304.9327591197.

Adding to 2222104104 its reverse (4014012222), we get a palindrome (6236116326).

It can be divided in two parts, 222 and 2104104, that added together give a triangular number (2104326 = T2051).

The spelling of 2222104104 in words is "two billion, two hundred twenty-two million, one hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 311743 623486 935229 1246972 1870458 2493944 2805687 3429173 3740916 5611374 6858346 7481832 8417061 10287519 11222748 13716692 16834122 20575038 22445496 25251183 27433384 30862557 33668244 41150076 50502366 61725114 67336488 82300152 92587671 101004732 123450228 185175342 202009464 246900456 277763013 370350684 555526026 740701368 1111052052 2222104104