Search a number
-
+
30003436225 = 52761012
BaseRepresentation
bin11011111100010110…
…000001101011000001
32212102222202110222201
4123330112001223001
5442421334424400
621441113433201
72111341000000
oct337426015301
985388673881
1030003436225
11117a7180794
12599410b801
132aa1cc9179
141648aa0c37
15ba90a706a
hex6fc581ac1

30003436225 has 63 divisors (see below), whose sum is σ = 43838925001. Its totient is φ = 20370084000.

The previous prime is 30003436223. The next prime is 30003436259. The reversal of 30003436225 is 52263430003.

The square root of 30003436225 is 173215.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5539973761 + 24463462464 = 74431^2 + 156408^2 .

It is not a de Polignac number, because 30003436225 - 21 = 30003436223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30003436193 and 30003436202.

It is not an unprimeable number, because it can be changed into a prime (30003436223) 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 62 ways as a sum of consecutive naturals, for example, 297063675 + ... + 297063775.

Almost surely, 230003436225 is an apocalyptic number.

30003436225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30003436225 is the 173215-th square number.

30003436225 is the 86608-th centered octagonal number.

It is an amenable number.

30003436225 is a deficient number, since it is larger than the sum of its proper divisors (13835488776).

30003436225 is an frugal number, since it uses more digits than its factorization.

30003436225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 30003436225 its reverse (52263430003), we get a palindrome (82266866228).

The spelling of 30003436225 in words is "thirty billion, three million, four hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 101 175 245 343 505 707 1225 1715 2401 2525 3535 4949 8575 10201 12005 16807 17675 24745 34643 51005 60025 71407 84035 117649 123725 173215 242501 255025 357035 420175 499849 588245 866075 1212505 1697507 1785175 2499245 2941225 3498943 6062525 8487535 11882549 12496225 17494715 24492601 42437675 59412745 87473575 122463005 171448207 297063725 612315025 857241035 1200137449 4286205175 6000687245 30003436225