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1324116225 = 325237533001
BaseRepresentation
bin100111011101100…
…0110100100000001
310102021120001222200
41032323012210001
510202433204400
6335220223413
744545542105
oct11673064401
93367501880
101324116225
1161a47a133
1230b53ab69
1318142cb33
14c7bdb905
157b3a5b00
hex4eec6901

1324116225 has 72 divisors (see below), whose sum is σ = 2482521912. Its totient is φ = 673920000.

The previous prime is 1324116221. The next prime is 1324116229. The reversal of 1324116225 is 5226114231.

1324116225 is a `hidden beast` number, since 1 + 3 + 24 + 11 + 622 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1324116221) and next prime (1324116229).

It can be written as a sum of positive squares in 12 ways, for example, as 39538944 + 1284577281 = 6288^2 + 35841^2 .

It is not a de Polignac number, because 1324116225 - 22 = 1324116221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1324116221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 439725 + ... + 442725.

It is an arithmetic number, because the mean of its divisors is an integer number (34479471).

Almost surely, 21324116225 is an apocalyptic number.

1324116225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1324116225 is a deficient number, since it is larger than the sum of its proper divisors (1158405687).

1324116225 is a wasteful number, since it uses less digits than its factorization.

1324116225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3099 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1324116225 is about 36388.4078382113. The cubic root of 1324116225 is about 1098.1003645803.

The spelling of 1324116225 in words is "one billion, three hundred twenty-four million, one hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 53 75 111 159 185 225 265 333 477 555 795 925 1325 1665 1961 2385 2775 3001 3975 5883 8325 9003 9805 11925 15005 17649 27009 29415 45015 49025 75025 88245 111037 135045 147075 159053 225075 333111 441225 477159 555185 675225 795265 999333 1431477 1665555 2385795 2775925 3976325 4996665 5884961 7157385 8327775 11928975 17654883 24983325 29424805 35786925 52964649 88274415 147124025 264823245 441372075 1324116225