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225624977 is a prime number
BaseRepresentation
bin11010111001011…
…00001110010001
3120201112221021122
431130230032101
5430224444402
634215532025
75406531524
oct1534541621
9521487248
10225624977
111063a5426
126368a015
1337989b06
1421d72bbb
1514c1bca2
hexd72c391

225624977 has 2 divisors, whose sum is σ = 225624978. Its totient is φ = 225624976.

The previous prime is 225624967. The next prime is 225624989. The reversal of 225624977 is 779426522.

225624977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216648961 + 8976016 = 14719^2 + 2996^2 .

It is a cyclic number.

It is not a de Polignac number, because 225624977 - 210 = 225623953 is a prime.

It is a super-3 number, since 3×2256249773 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (225624937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112812488 + 112812489.

It is an arithmetic number, because the mean of its divisors is an integer number (112812489).

Almost surely, 2225624977 is an apocalyptic number.

It is an amenable number.

225624977 is a deficient number, since it is larger than the sum of its proper divisors (1).

225624977 is an equidigital number, since it uses as much as digits as its factorization.

225624977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 423360, while the sum is 44.

The square root of 225624977 is about 15020.8181201957. The cubic root of 225624977 is about 608.7828250750.

The spelling of 225624977 in words is "two hundred twenty-five million, six hundred twenty-four thousand, nine hundred seventy-seven".