Search a number
-
+
930617149225 = 5229266532
BaseRepresentation
bin11011000101011010001…
…10101100011100101001
310021222002022100102012011
431202231012230130221
5110221400442233400
61551304123115521
7124143363152161
oct15425506543451
93258068312164
10930617149225
11329744135205
12130439972ba1
13699ab97275a
143308379d5a1
151931a40e8ba
hexd8ad1ac729

930617149225 has 27 divisors (see below), whose sum is σ = 1195308970063. Its totient is φ = 718713477440.

The previous prime is 930617149211. The next prime is 930617149309. The reversal of 930617149225 is 522941716039.

The square root of 930617149225 is 964685.

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

930617149225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 929224665369 + 1392483856 = 963963^2 + 37316^2 .

It is not a de Polignac number, because 930617149225 - 235 = 896257410857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139875999 + ... + 139882651.

Almost surely, 2930617149225 is an apocalyptic number.

930617149225 is the 964685-th square number.

930617149225 is the 482343-rd centered octagonal number.

It is an amenable number.

930617149225 is a deficient number, since it is larger than the sum of its proper divisors (264691820838).

930617149225 is an frugal number, since it uses more digits than its factorization.

930617149225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13374 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 930617149225 by its sum of digits (49), we get a square (45600240312025 = 67527952).

The spelling of 930617149225 in words is "nine hundred thirty billion, six hundred seventeen million, one hundred forty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 4205 6653 21025 33265 166325 192937 964685 4823425 5595173 27975865 44262409 139879325 221312045 1106560225 1283609861 6418049305 32090246525 37224685969 186123429845 930617149225