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30422024320 = 27580958757
BaseRepresentation
bin11100010101010010…
…110100000010000000
32220112011101221220111
4130111102310002000
5444301014234240
621550425321104
72124612640312
oct342522640200
986464357814
1030422024320
11119a1492166
125a90336194
132b3a94832c
1416885037b2
15bd0bdd1ea
hex7154b4080

30422024320 has 64 divisors (see below), whose sum is σ = 72818789400. Its totient is φ = 12153561088.

The previous prime is 30422024257. The next prime is 30422024323. The reversal of 30422024320 is 2342022403.

It can be written as a sum of positive squares in 4 ways, for example, as 30379095616 + 42928704 = 174296^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 30422024291 and 30422024300.

It is not an unprimeable number, because it can be changed into a prime (30422024323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488382 + ... + 547138.

Almost surely, 230422024320 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 30422024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36409394700).

30422024320 is an abundant number, since it is smaller than the sum of its proper divisors (42396765080).

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

30422024320 is an equidigital number, since it uses as much as digits as its factorization.

30422024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59585 (or 59573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 30422024320 its reverse (2342022403), we get a palindrome (32764046723).

The spelling of 30422024320 in words is "thirty billion, four hundred twenty-two million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 809 1618 3236 4045 6472 8090 12944 16180 25888 32360 51776 58757 64720 103552 117514 129440 235028 258880 293785 470056 517760 587570 940112 1175140 1880224 2350280 3760448 4700560 7520896 9401120 18802240 37604480 47534413 95068826 190137652 237672065 380275304 475344130 760550608 950688260 1521101216 1901376520 3042202432 3802753040 6084404864 7605506080 15211012160 30422024320