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225252323252523 = 3272836153930641
BaseRepresentation
bin110011001101110110100100…
…101101100101100100101011
31002112112220121200221000002100
4303031312210231211210223
5214011013224223040043
62115023253323104443
765305641361346400
oct6315664455454453
91075486550830070
10225252323252523
1165854a791840a6
122131b4ab372123
13988c283b1c898
143d8a3b07dc2a7
151b094e33c6cd3
hexccdda4b6592b

225252323252523 has 36 divisors (see below), whose sum is σ = 383045258880648. Its totient is φ = 127164822744960.

The previous prime is 225252323252519. The next prime is 225252323252557. The reversal of 225252323252523 is 325252323252522.

225252323252523 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 52 + 3 + 23 + 2 + 52 + 523 = 666.

It is not a de Polignac number, because 225252323252523 - 22 = 225252323252519 is a prime.

It is a super-2 number, since 2×2252523232525232 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225252323252513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3076928718 + ... + 3077001923.

It is an arithmetic number, because the mean of its divisors is an integer number (10640146080018).

Almost surely, 2225252323252523 is an apocalyptic number.

225252323252523 is a deficient number, since it is larger than the sum of its proper divisors (157792935628125).

225252323252523 is a wasteful number, since it uses less digits than its factorization.

225252323252523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153930744 (or 6153930734 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 45.

Subtracting 225252323252523 from its reverse (325252323252522), we obtain a palindrome (99999999999999).

The spelling of 225252323252523 in words is "two hundred twenty-five trillion, two hundred fifty-two billion, three hundred twenty-three million, two hundred fifty-two thousand, five hundred twenty-three".

Divisors: 1 3 7 9 21 49 63 83 147 249 441 581 747 1743 4067 5229 12201 36603 6153930641 18461791923 43077514487 55385375769 129232543461 301542601409 387697630383 510776243203 904627804227 1532328729609 2713883412681 3575433702421 4596986188827 10726301107263 25028035916947 32178903321789 75084107750841 225252323252523