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225252631275 = 3527297631889
BaseRepresentation
bin1101000111001000011…
…0100110001011101011
3210112102020120021021020
43101302012212023223
512142304133200100
6251251333343523
722162653526500
oct3216206461353
9715366507236
10225252631275
1187590268901
12377a4797ba3
1318319ca9949
14ac8bc2b4a7
155cd53ea5a0
hex34721a62eb

225252631275 has 72 divisors (see below), whose sum is σ = 437687454960. Its totient is φ = 101910896640.

The previous prime is 225252631271. The next prime is 225252631301. The reversal of 225252631275 is 572136252522.

It is a happy number.

225252631275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225252631275 - 22 = 225252631271 is a prime.

It is a super-2 number, since 2×2252526312752 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225252631271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40531 + ... + 672419.

It is an arithmetic number, because the mean of its divisors is an integer number (6078992430).

Almost surely, 2225252631275 is an apocalyptic number.

225252631275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225252631275 is a deficient number, since it is larger than the sum of its proper divisors (212434823685).

225252631275 is a wasteful number, since it uses less digits than its factorization.

225252631275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632013 (or 632001 counting only the distinct ones).

The product of its digits is 504000, while the sum is 42.

Adding to 225252631275 its reverse (572136252522), we get a palindrome (797388883797).

The spelling of 225252631275 in words is "two hundred twenty-five billion, two hundred fifty-two million, six hundred thirty-one thousand, two hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 97 105 147 175 245 291 485 525 679 735 1225 1455 2037 2425 3395 3675 4753 7275 10185 14259 16975 23765 50925 71295 118825 356475 631889 1895667 3159445 4423223 9478335 13269669 15797225 22116115 30962561 47391675 61293233 66348345 92887683 110580575 154812805 183879699 306466165 331741725 429052631 464438415 774064025 919398495 1287157893 1532330825 2145263155 2322192075 3003368417 4596992475 6435789465 9010105251 10726315775 15016842085 32178947325 45050526255 75084210425 225252631275