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225140601 = 37293371097
BaseRepresentation
bin11010110101101…
…01111101111001
3120200122022211210
431122311331321
5430113444401
634201313333
75402443410
oct1532657571
9520568753
10225140601
111060a4514
1263495849
133784a4ba
1421c88477
1514b734d6
hexd6b5f79

225140601 has 32 divisors (see below), whose sum is σ = 356279040. Its totient is φ = 123734016.

The previous prime is 225140579. The next prime is 225140603. The reversal of 225140601 is 106041522.

It is not a de Polignac number, because 225140601 - 27 = 225140473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225140603) 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 31 ways as a sum of consecutive naturals, for example, 204685 + ... + 205781.

It is an arithmetic number, because the mean of its divisors is an integer number (11133720).

Almost surely, 2225140601 is an apocalyptic number.

225140601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225140601 is a deficient number, since it is larger than the sum of its proper divisors (131138439).

225140601 is a wasteful number, since it uses less digits than its factorization.

225140601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473.

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

The square root of 225140601 is about 15004.6859680568. The cubic root of 225140601 is about 608.3468640930.

The spelling of 225140601 in words is "two hundred twenty-five million, one hundred forty thousand, six hundred one".

Divisors: 1 3 7 21 29 87 203 337 609 1011 1097 2359 3291 7077 7679 9773 23037 29319 31813 68411 95439 205233 222691 369689 668073 1109067 2587823 7763469 10720981 32162943 75046867 225140601