Search a number
-
+
22124003320 = 23517113499577
BaseRepresentation
bin10100100110101100…
…010111111111111000
32010002212012211001101
4110212230113333320
5330302221101240
614055202101144
71412152632256
oct244654277770
963085184041
1022124003320
119423472171
12435534a7b4
13211774b133
1410dc41d5d6
1589747539a
hex526b17ff8

22124003320 has 128 divisors (see below), whose sum is σ = 53372520000. Its totient is φ = 8224505856.

The previous prime is 22124003311. The next prime is 22124003327. The reversal of 22124003320 is 2330042122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22124003327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38342872 + ... + 38343448.

Almost surely, 222124003320 is an apocalyptic number.

22124003320 is a gapful number since it is divisible by the number (20) 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 22124003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26686260000).

22124003320 is an abundant number, since it is smaller than the sum of its proper divisors (31248516680).

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

22124003320 is a wasteful number, since it uses less digits than its factorization.

22124003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 22124003320 its reverse (2330042122), we get a palindrome (24454045442).

The spelling of 22124003320 in words is "twenty-two billion, one hundred twenty-four million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 113 136 170 226 340 452 499 565 577 680 904 998 1130 1154 1921 1996 2260 2308 2495 2885 3842 3992 4520 4616 4990 5770 7684 8483 9605 9809 9980 11540 15368 16966 19210 19618 19960 23080 33932 38420 39236 42415 49045 56387 65201 67864 76840 78472 84830 98090 112774 130402 169660 196180 225548 260804 281935 287923 326005 339320 392360 451096 521608 563870 575846 652010 958579 1108417 1127740 1151692 1304020 1439615 1917158 2216834 2255480 2303384 2608040 2879230 3834316 4433668 4792895 4894691 5542085 5758460 7668632 8867336 9585790 9789382 11084170 11516920 19171580 19578764 22168340 24473455 32535299 38343160 39157528 44336680 48946910 65070598 97893820 130141196 162676495 195787640 260282392 325352990 553100083 650705980 1106200166 1301411960 2212400332 2765500415 4424800664 5531000830 11062001660 22124003320