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230270418225 = 3252319912
BaseRepresentation
bin1101011001110100101…
…1111011110100110001
3211000100221102020221100
43112131023323310301
512233043211340400
6253441302115013
722431213155121
oct3263513736461
9730327366840
10230270418225
1189725714471
123876511ba69
1318939725553
14b2063dcc81
155ecabb7100
hex359d2fbd31

230270418225 has 27 divisors (see below), whose sum is σ = 412452797419. Its totient is φ = 122807050800.

The previous prime is 230270418211. The next prime is 230270418227. The reversal of 230270418225 is 522814072032.

The square root of 230270418225 is 479865.

It is a perfect power (a square), and thus also a powerful number.

230270418225 is a `hidden beast` number, since 230 + 2 + 7 + 0 + 418 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82897350561 + 147373067664 = 287919^2 + 383892^2 .

It is not a de Polignac number, because 230270418225 - 25 = 230270418193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230270418225.

It is not an unprimeable number, because it can be changed into a prime (230270418227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7181980 + ... + 7213970.

Almost surely, 2230270418225 is an apocalyptic number.

230270418225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230270418225 is the 479865-th square number.

230270418225 is the 239933-rd centered octagonal number.

It is an amenable number.

230270418225 is a deficient number, since it is larger than the sum of its proper divisors (182182379194).

230270418225 is an frugal number, since it uses more digits than its factorization.

230270418225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63998 (or 31999 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 230270418225 by its sum of digits (36), we get a square (8289735056100 = 28791902).

The spelling of 230270418225 in words is "two hundred thirty billion, two hundred seventy million, four hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 31991 95973 159955 287919 479865 799775 1439595 2399325 7197975 1023424081 3070272243 5117120405 9210816729 15351361215 25585602025 46054083645 76756806075 230270418225