Search a number
-
+
2325024405 = 345114353229
BaseRepresentation
bin1000101010010101…
…0000111010010101
320000000221110220000
42022211100322111
514230201240110
61022413201513
7111421244544
oct21245207225
96000843800
102325024405
11a93463280
1254a790299
132b08c74b2
14180b0415b
15d91b61c0
hex8a950e95

2325024405 has 160 divisors (see below), whose sum is σ = 4760933760. Its totient is φ = 1075576320.

The previous prime is 2325024371. The next prime is 2325024407. The reversal of 2325024405 is 5044205232.

It is a happy number.

2325024405 is a `hidden beast` number, since 2 + 3 + 250 + 2 + 4 + 405 = 666.

It is not a de Polignac number, because 2325024405 - 29 = 2325023893 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325024407) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10152831 + ... + 10153059.

It is an arithmetic number, because the mean of its divisors is an integer number (29755836).

Almost surely, 22325024405 is an apocalyptic number.

It is an amenable number.

2325024405 is an abundant number, since it is smaller than the sum of its proper divisors (2435909355).

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

2325024405 is a wasteful number, since it uses less digits than its factorization.

2325024405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2325024405 is about 48218.5068723618. The cubic root of 2325024405 is about 1324.7761634466.

Adding to 2325024405 its reverse (5044205232), we get a palindrome (7369229637).

The spelling of 2325024405 in words is "two billion, three hundred twenty-five million, twenty-four thousand, four hundred five".

Divisors: 1 3 5 9 11 15 27 33 43 45 53 55 81 99 129 135 159 165 215 229 265 297 387 405 473 477 495 583 645 687 795 891 1145 1161 1419 1431 1485 1749 1935 2061 2279 2365 2385 2519 2915 3435 3483 4257 4293 4455 5247 5805 6183 6837 7095 7155 7557 8745 9847 10305 11395 12137 12595 12771 15741 17415 18549 20511 21285 21465 22671 25069 26235 29541 30915 34185 36411 37785 38313 47223 49235 60685 61533 63855 68013 75207 78705 88623 92745 102555 108317 109233 113355 125345 133507 147705 182055 184599 191565 204039 225621 236115 265869 307665 324951 327699 340065 376035 400521 443115 521891 541585 546165 667535 676863 797607 922995 974853 983097 1020195 1128105 1201563 1329345 1565673 1624755 1638495 2002605 2030589 2609455 2924559 3384315 3604689 3988035 4697019 4874265 4915485 5740801 6007815 7828365 8773677 10152945 10814067 14091057 14622795 17222403 18023445 23485095 28704005 42273171 43868385 51667209 54070335 70455285 86112015 155001627 211365855 258336045 465004881 775008135 2325024405