Search a number
-
+
4354020225 = 3252532832
BaseRepresentation
bin1000000111000010…
…10001001110000001
3102020102212010220100
410003201101032001
532404112121400
62000013433013
7212616363342
oct40341211601
912212763810
104354020225
111934804925
12a1619b769
13545084739
142d438a0c9
151a73a5100
hex103851381

4354020225 has 81 divisors (see below), whose sum is σ = 8045370697. Its totient is φ = 2250880320.

The previous prime is 4354020197. The next prime is 4354020239. The reversal of 4354020225 is 5220204534.

It is a happy number.

The square root of 4354020225 is 65985.

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

4354020225 is a `hidden beast` number, since 4 + 35 + 402 + 0 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32798529 + 4321221696 = 5727^2 + 65736^2 .

It is not a de Polignac number, because 4354020225 - 211 = 4354018177 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52458034 + ... + 52458116.

Almost surely, 24354020225 is an apocalyptic number.

4354020225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4354020225 is the 65985-th square number.

4354020225 is the 32993-rd centered octagonal number.

It is an amenable number.

4354020225 is a deficient number, since it is larger than the sum of its proper divisors (3691350472).

4354020225 is an equidigital number, since it uses as much as digits as its factorization.

4354020225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The cubic root of 4354020225 is about 1632.9146322523.

Adding to 4354020225 its reverse (5220204534), we get a palindrome (9574224759).

The spelling of 4354020225 in words is "four billion, three hundred fifty-four million, twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 83 159 225 249 265 415 477 747 795 1245 1325 2075 2385 2809 3735 3975 4399 6225 6889 8427 11925 13197 14045 18675 20667 21995 25281 34445 39591 42135 62001 65985 70225 103335 109975 126405 172225 197955 210675 233147 310005 329925 365117 516675 632025 699441 989775 1095351 1165735 1550025 1825585 2098323 3286053 3497205 5476755 5828675 9127925 10491615 16430265 17486025 19351201 27383775 52458075 58053603 82151325 96756005 174160809 290268015 483780025 870804045 1451340075 4354020225