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3444255225 = 325241373361
BaseRepresentation
bin1100110101001011…
…0010100111111001
322220000222021221100
43031102302213321
524023212131400
61325434202013
7151231454265
oct31522624771
98800867840
103444255225
111508212a24
12801583309
1342b74c458
1424960b0a5
1515259a100
hexcd4b29f9

3444255225 has 36 divisors (see below), whose sum is σ = 6319525212. Its totient is φ = 1792128000.

The previous prime is 3444255211. The next prime is 3444255247. The reversal of 3444255225 is 5225524443.

3444255225 is a `hidden beast` number, since 3 + 4 + 4 + 425 + 5 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1192942521 + 2251312704 = 34539^2 + 47448^2 .

It is not a de Polignac number, because 3444255225 - 26 = 3444255161 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3444255225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177456 + ... + 195905.

It is an arithmetic number, because the mean of its divisors is an integer number (175542367).

Almost surely, 23444255225 is an apocalyptic number.

It is an amenable number.

3444255225 is a deficient number, since it is larger than the sum of its proper divisors (2875269987).

3444255225 is a wasteful number, since it uses less digits than its factorization.

3444255225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373418 (or 373410 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The square root of 3444255225 is about 58687.7774753824. Note that the first 3 decimals coincide. The cubic root of 3444255225 is about 1510.1906437364.

Adding to 3444255225 its reverse (5225524443), we get a palindrome (8669779668).

The spelling of 3444255225 in words is "three billion, four hundred forty-four million, two hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1845 3075 9225 373361 1120083 1866805 3360249 5600415 9334025 15307801 16801245 28002075 45923403 76539005 84006225 137770209 229617015 382695025 688851045 1148085075 3444255225