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930289185225 = 3252643012
BaseRepresentation
bin11011000100110011000…
…11100111000111001001
310021221020110020010011100
431202121203213013021
5110220213012411400
61551211405452013
7124132301414001
oct15423143470711
93257213203140
10930289185225
11329595aa0a84
12130367b71009
1369958a3360a
1433051dcb001
15192eb72a100
hexd8998e71c9

930289185225 has 27 divisors (see below), whose sum is σ = 1666277209909. Its totient is φ = 496146516000.

The previous prime is 930289185223. The next prime is 930289185239. The reversal of 930289185225 is 522581982039.

It is a happy number.

The square root of 930289185225 is 964515.

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

930289185225 is a `hidden beast` number, since 9 + 3 + 0 + 28 + 91 + 8 + 522 + 5 = 666.

930289185225 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 4 ways, for example, as 80146176201 + 850143009024 = 283101^2 + 922032^2 .

It is not a de Polignac number, because 930289185225 - 21 = 930289185223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (930289185223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14435575 + ... + 14499875.

Almost surely, 2930289185225 is an apocalyptic number.

930289185225 is the 964515-th square number.

930289185225 is the 482258-th centered octagonal number.

It is an amenable number.

930289185225 is a deficient number, since it is larger than the sum of its proper divisors (735988024684).

930289185225 is an frugal number, since it uses more digits than its factorization.

930289185225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128618 (or 64309 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 930289185225 in words is "nine hundred thirty billion, two hundred eighty-nine million, one hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 64301 192903 321505 578709 964515 1607525 2893545 4822575 14467725 4134618601 12403855803 20673093005 37211567409 62019279015 103365465025 186057837045 310096395075 930289185225