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213466025 = 52171014973
BaseRepresentation
bin11001011100100…
…11101110101001
3112212200012100002
430232103232221
5414121403100
633103152345
75201300633
oct1456235651
9485605302
10213466025
11aa550203
125b5a56b5
13352c0676
14204c9a53
1513b192d5
hexcb93ba9

213466025 has 24 divisors (see below), whose sum is σ = 283100184. Its totient is φ = 159104000.

The previous prime is 213466021. The next prime is 213466027. The reversal of 213466025 is 520664312.

It can be written as a sum of positive squares in 12 ways, for example, as 72361 + 213393664 = 269^2 + 14608^2 .

It is not a de Polignac number, because 213466025 - 22 = 213466021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213466021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40439 + ... + 45411.

It is an arithmetic number, because the mean of its divisors is an integer number (11795841).

Almost surely, 2213466025 is an apocalyptic number.

213466025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213466025 is a deficient number, since it is larger than the sum of its proper divisors (69634159).

213466025 is a wasteful number, since it uses less digits than its factorization.

213466025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 213466025 is about 14610.4765493806. The cubic root of 213466025 is about 597.6444915866.

The spelling of 213466025 in words is "two hundred thirteen million, four hundred sixty-six thousand, twenty-five".

Divisors: 1 5 17 25 85 101 425 505 1717 2525 4973 8585 24865 42925 84541 124325 422705 502273 2113525 2511365 8538641 12556825 42693205 213466025