Search a number
-
+
2224240425 = 335211463647
BaseRepresentation
bin1000010010010011…
…0011011100101001
312202000022010021000
42010210303130221
514023401143200
61004413105213
7106055505651
oct20444633451
95660263230
102224240425
11a41586830
12520a88209
13295a6abc4
1417158b361
15d0409300
hex84933729

2224240425 has 96 divisors (see below), whose sum is σ = 4473999360. Its totient is φ = 1074427200.

The previous prime is 2224240423. The next prime is 2224240429. The reversal of 2224240425 is 5240424222.

It is not a de Polignac number, because 2224240425 - 21 = 2224240423 is a prime.

It is a super-3 number, since 3×22242404253 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2224240423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3437452 + ... + 3438098.

It is an arithmetic number, because the mean of its divisors is an integer number (46604160).

Almost surely, 22224240425 is an apocalyptic number.

2224240425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2224240425 is an abundant number, since it is smaller than the sum of its proper divisors (2249758935).

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

2224240425 is a wasteful number, since it uses less digits than its factorization.

2224240425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2224240425 is about 47161.8534941111. The cubic root of 2224240425 is about 1305.3508106937.

Adding to 2224240425 its reverse (5240424222), we get a palindrome (7464664647).

The spelling of 2224240425 in words is "two billion, two hundred twenty-four million, two hundred forty thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 463 495 647 675 825 1389 1485 1941 2315 2475 3235 4167 5093 5823 6945 7117 7425 9705 11575 12501 15279 16175 17469 20835 21351 25465 29115 34725 35585 45837 48525 62505 64053 76395 87345 104175 106755 127325 137511 145575 177925 192159 229185 299561 312525 320265 381975 436725 533775 687555 898683 960795 1145925 1497805 1601325 2696049 3295171 3437775 4493415 4803975 7489025 8088147 9885513 13480245 16475855 22467075 29656539 40440735 49427565 67401225 82379275 88969617 148282695 202203675 247137825 444848085 741413475 2224240425