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235385077225 = 5219251072
BaseRepresentation
bin1101101100111000001…
…0110011110111101001
3211111120101112212002011
43123032002303313221
512324032034432400
6300045011035521
723002030100314
oct3331602636751
9744511485064
10235385077225
119090a815481
1239751b9bba1
131927325acac
14b56d7c997b
1561c9c1b8ba
hex36ce0b3de9

235385077225 has 27 divisors (see below), whose sum is σ = 308108324727. Its totient is φ = 178362179280.

The previous prime is 235385077223. The next prime is 235385077237. The reversal of 235385077225 is 522770583532.

The square root of 235385077225 is 485165.

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

It can be written as a sum of positive squares in only one way, i.e., 84738627801 + 150646449424 = 291099^2 + 388132^2 .

It is not a de Polignac number, because 235385077225 - 21 = 235385077223 is a prime.

It is a super-2 number, since 2×2353850772252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (235385077223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46088122 + ... + 46093228.

Almost surely, 2235385077225 is an apocalyptic number.

235385077225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

235385077225 is the 485165-th square number.

235385077225 is the 242583-rd centered octagonal number.

It is an amenable number.

235385077225 is a deficient number, since it is larger than the sum of its proper divisors (72723247502).

235385077225 is an frugal number, since it uses more digits than its factorization.

235385077225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10262 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 49.

Multiplying 235385077225 by its sum of digits (49), we get a square (11533868784025 = 33961552).

The spelling of 235385077225 in words is "two hundred thirty-five billion, three hundred eighty-five million, seventy-seven thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 5107 9025 25535 97033 127675 485165 1843627 2425825 9218135 26081449 46090675 130407245 495547531 652036225 2477737655 9415403089 12388688275 47077015445 235385077225