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30525142224 = 24341123712539
BaseRepresentation
bin11100011011011100…
…001011010011010000
32220210100102220002010
4130123130023103100
51000003414022344
622004551422520
72130304266513
oct343334132320
986710386063
1030525142224
1111a44713175
125aba984a40
132b56111045
1416980a6d7a
15bd9cab8b9
hex71b70b4d0

30525142224 has 80 divisors (see below), whose sum is σ = 80851700160. Its totient is φ = 9918059520.

The previous prime is 30525142213. The next prime is 30525142229. The reversal of 30525142224 is 42224152503.

It is a junction number, because it is equal to n+sod(n) for n = 30525142191 and 30525142200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30525142229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2428147 + ... + 2440685.

It is an arithmetic number, because the mean of its divisors is an integer number (1010646252).

Almost surely, 230525142224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30525142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40425850080).

30525142224 is an abundant number, since it is smaller than the sum of its proper divisors (50326557936).

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

30525142224 is a wasteful number, since it uses less digits than its factorization.

30525142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13828 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 30525142224 its reverse (42224152503), we get a palindrome (72749294727).

The spelling of 30525142224 in words is "thirty billion, five hundred twenty-five million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1237 1968 2474 3711 4948 7422 9896 12539 14844 19792 25078 29688 37617 50156 50717 59376 75234 100312 101434 150468 152151 200624 202868 300936 304302 405736 514099 601872 608604 811472 1028198 1217208 1542297 2056396 2434416 3084594 4112792 6169188 8225584 12338376 15510743 24676752 31021486 46532229 62042972 93064458 124085944 186128916 248171888 372257832 635940463 744515664 1271880926 1907821389 2543761852 3815642778 5087523704 7631285556 10175047408 15262571112 30525142224