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2430242325 = 335273713901
BaseRepresentation
bin1001000011011010…
…1000111000010101
320021100221002202000
42100312220320111
514434120223300
61041052305513
7114136501410
oct22066507025
96240832660
102430242325
111037899035
12579a72299
132c9647014
14190a92b77
15e354bc00
hex90da8e15

2430242325 has 96 divisors (see below), whose sum is σ = 5240497920. Its totient is φ = 1080864000.

The previous prime is 2430242279. The next prime is 2430242333. The reversal of 2430242325 is 5232420342.

It is a happy number.

It is not a de Polignac number, because 2430242325 - 29 = 2430241813 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167875 + ... + 181775.

It is an arithmetic number, because the mean of its divisors is an integer number (54588520).

Almost surely, 22430242325 is an apocalyptic number.

2430242325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2430242325 is an abundant number, since it is smaller than the sum of its proper divisors (2810255595).

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

2430242325 is a wasteful number, since it uses less digits than its factorization.

2430242325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13964 (or 13953 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2430242325 is about 49297.4880191679. The cubic root of 2430242325 is about 1344.4661120457.

Adding to 2430242325 its reverse (5232420342), we get a palindrome (7662662667).

The spelling of 2430242325 in words is "two billion, four hundred thirty million, two hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 37 45 63 75 105 111 135 175 185 189 225 259 315 333 525 555 675 777 925 945 999 1295 1575 1665 2331 2775 3885 4725 4995 6475 6993 8325 11655 13901 19425 24975 34965 41703 58275 69505 97307 125109 174825 208515 291921 347525 375327 486535 514337 625545 875763 1042575 1459605 1543011 1876635 2432675 2571685 2627289 3127725 3600359 4378815 4629033 7298025 7715055 9383175 10801077 12858425 13136445 13887099 18001795 21894075 23145165 32403231 38575275 54005385 65682225 69435495 90008975 97209693 115725825 162016155 270026925 347177475 486048465 810080775 2430242325