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225877581 = 3243661883
BaseRepresentation
bin11010111011010…
…01111001001101
3120202000202210100
431131221321031
5430311040311
634225201313
75411633136
oct1535517115
9522022710
10225877581
11106558196
1263790239
1337a47a97
1421ddac8d
1514c6ba56
hexd769e4d

225877581 has 24 divisors (see below), whose sum is σ = 334738976. Its totient is φ = 146694240.

The previous prime is 225877579. The next prime is 225877583. The reversal of 225877581 is 185778522.

It is an interprime number because it is at equal distance from previous prime (225877579) and next prime (225877583).

It is not a de Polignac number, because 225877581 - 21 = 225877579 is a prime.

It is a super-2 number, since 2×2258775812 = 102041363196823122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225877583) 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 23 ways as a sum of consecutive naturals, for example, 255366 + ... + 256248.

Almost surely, 2225877581 is an apocalyptic number.

It is an amenable number.

225877581 is a deficient number, since it is larger than the sum of its proper divisors (108861395).

225877581 is a wasteful number, since it uses less digits than its factorization.

225877581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1590 counting only the distinct ones).

The product of its digits is 313600, while the sum is 45.

The square root of 225877581 is about 15029.2242314765. The cubic root of 225877581 is about 609.0099329432.

The spelling of 225877581 in words is "two hundred twenty-five million, eight hundred seventy-seven thousand, five hundred eighty-one".

Divisors: 1 3 9 43 129 387 661 883 1983 2649 5949 7947 28423 37969 85269 113907 255807 341721 583663 1750989 5252967 25097509 75292527 225877581