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2904224092 = 2271121376257
BaseRepresentation
bin1010110100011010…
…1111000101011100
321111101210212111021
42231012233011130
521421440132332
61200103333524
7131653332430
oct25506570534
97441725437
102904224092
1112603a4600
126907512a4
133738bc5c3
141d79d49c0
1511ee75c97
hexad1af15c

2904224092 has 72 divisors (see below), whose sum is σ = 6432122592. Its totient is φ = 1123077120.

The previous prime is 2904224069. The next prime is 2904224107.

2904224092 is nontrivially palindromic in base 10.

It is a congruent number.

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, 461028 + ... + 467284.

It is an arithmetic number, because the mean of its divisors is an integer number (89335036).

Almost surely, 22904224092 is an apocalyptic number.

2904224092 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2904224092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216061296).

2904224092 is an abundant number, since it is smaller than the sum of its proper divisors (3527898500).

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

2904224092 is a wasteful number, since it uses less digits than its factorization.

2904224092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2904224092 is about 53890.8535096634. The cubic root of 2904224092 is about 1426.7351948576.

The spelling of 2904224092 in words is "two billion, nine hundred four million, two hundred twenty-four thousand, ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 137 154 242 274 308 484 548 847 959 1507 1694 1918 3014 3388 3836 6028 6257 10549 12514 16577 21098 25028 33154 42196 43799 66308 68827 87598 116039 137654 175196 232078 275308 464156 481789 757097 857209 963578 1514194 1714418 1927156 3028388 3428836 5299679 6000463 9429299 10599358 12000926 18858598 21198716 24001852 37717196 66005093 103722289 132010186 207444578 264020372 414889156 726056023 1452112046 2904224092