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213532025 = 5276183241
BaseRepresentation
bin11001011101000…
…11110101111001
3112212210112212112
430232203311321
5414131011100
633104422105
75201664230
oct1456436571
9485715775
10213532025
11aa595853
125b617935
1335314715
1420505b17
1513b2db35
hexcba3d79

213532025 has 48 divisors (see below), whose sum is σ = 312563328. Its totient is φ = 141696000.

The previous prime is 213531991. The next prime is 213532027. The reversal of 213532025 is 520235312.

It is not a de Polignac number, because 213532025 - 26 = 213531961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213532027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885905 + ... + 886145.

It is an arithmetic number, because the mean of its divisors is an integer number (6511736).

Almost surely, 2213532025 is an apocalyptic number.

213532025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213532025 is a deficient number, since it is larger than the sum of its proper divisors (99031303).

213532025 is a wasteful number, since it uses less digits than its factorization.

213532025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 213532025 is about 14612.7350280500. The cubic root of 213532025 is about 597.7060790172.

Adding to 213532025 its reverse (520235312), we get a palindrome (733767337).

The spelling of 213532025 in words is "two hundred thirteen million, five hundred thirty-two thousand, twenty-five".

Divisors: 1 5 7 25 35 61 83 175 241 305 415 427 581 1205 1525 1687 2075 2135 2905 5063 6025 8435 10675 14525 14701 20003 25315 35441 42175 73505 100015 102907 126575 140021 177205 367525 500075 514535 700105 886025 1220183 2572675 3500525 6100915 8541281 30504575 42706405 213532025