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1314054225 = 335211176977
BaseRepresentation
bin100111001010010…
…1110000001010001
310101120121212112000
41032110232001101
510142344213400
6334220424213
744364163611
oct11624560121
93346555460
101314054225
11614827430
123080a8069
1317c318ca3
14c673ca41
157a569600
hex4e52e051

1314054225 has 48 divisors (see below), whose sum is σ = 2633432640. Its totient is φ = 637113600.

The previous prime is 1314054221. The next prime is 1314054227. The reversal of 1314054225 is 5224504131.

1314054225 is a `hidden beast` number, since 1 + 31 + 405 + 4 + 225 = 666.

It is not a de Polignac number, because 1314054225 - 22 = 1314054221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1314054221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81064 + ... + 95913.

It is an arithmetic number, because the mean of its divisors is an integer number (54863180).

Almost surely, 21314054225 is an apocalyptic number.

1314054225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314054225 is an abundant number, since it is smaller than the sum of its proper divisors (1319378415).

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

1314054225 is a wasteful number, since it uses less digits than its factorization.

1314054225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177007 (or 176996 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1314054225 is about 36249.8858618893. The cubic root of 1314054225 is about 1095.3117896140.

Adding to 1314054225 its reverse (5224504131), we get a palindrome (6538558356).

The spelling of 1314054225 in words is "one billion, three hundred fourteen million, fifty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 176977 530931 884885 1592793 1946747 2654655 4424425 4778379 5840241 7963965 9733735 13273275 17520723 23891895 29201205 39819825 48668675 52562169 87603615 119459475 146006025 262810845 438018075 1314054225