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225100641 = 33119912163
BaseRepresentation
bin11010110101011…
…00001101100001
3120200120022000210
431122230031201
5430111210031
634200404333
75402216043
oct1532541541
9520508023
10225100641
11106077497
12634766a9
133783525c
1421c77a93
1514b66746
hexd6ac361

225100641 has 16 divisors (see below), whose sum is σ = 311398400. Its totient is φ = 144484560.

The previous prime is 225100559. The next prime is 225100643. The reversal of 225100641 is 146001522.

225100641 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 225100641 - 29 = 225100129 is a prime.

It is a super-2 number, since 2×2251006412 = 101340597157221762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225100643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12426 + ... + 24588.

It is an arithmetic number, because the mean of its divisors is an integer number (19462400).

Almost surely, 2225100641 is an apocalyptic number.

It is an amenable number.

225100641 is a deficient number, since it is larger than the sum of its proper divisors (86297759).

225100641 is a wasteful number, since it uses less digits than its factorization.

225100641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12396.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 225100641 is about 15003.3543249501. The cubic root of 225100641 is about 608.3108703200.

The spelling of 225100641 in words is "two hundred twenty-five million, one hundred thousand, six hundred forty-one".

Divisors: 1 3 31 93 199 597 6169 12163 18507 36489 377053 1131159 2420437 7261311 75033547 225100641