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225373829 is a prime number
BaseRepresentation
bin11010110111011…
…10111010000101
3120201002011202212
431123232322011
5430143430304
634210313205
75404434362
oct1533567205
9521064685
10225373829
1110624376a
1263588805
13378cc6c5
1421d09469
1514bbc66e
hexd6eee85

225373829 has 2 divisors, whose sum is σ = 225373830. Its totient is φ = 225373828.

The previous prime is 225373787. The next prime is 225373871. The reversal of 225373829 is 928373522.

It is a balanced prime because it is at equal distance from previous prime (225373787) and next prime (225373871).

It can be written as a sum of positive squares in only one way, i.e., 138697729 + 86676100 = 11777^2 + 9310^2 .

It is a cyclic number.

It is not a de Polignac number, because 225373829 - 220 = 224325253 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225373229) 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 as a sum of consecutive naturals, namely, 112686914 + 112686915.

It is an arithmetic number, because the mean of its divisors is an integer number (112686915).

Almost surely, 2225373829 is an apocalyptic number.

It is an amenable number.

225373829 is a deficient number, since it is larger than the sum of its proper divisors (1).

225373829 is an equidigital number, since it uses as much as digits as its factorization.

225373829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 41.

The square root of 225373829 is about 15012.4557951056. The cubic root of 225373829 is about 608.5568581391.

The spelling of 225373829 in words is "two hundred twenty-five million, three hundred seventy-three thousand, eight hundred twenty-nine".