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225252416475 = 325223166726111
BaseRepresentation
bin1101000111001000010…
…1110001101111011011
3210112102020011100121200
43101302011301233123
512142304104311400
6251251325005243
722162651643322
oct3216205615733
9715366140550
10225252416475
1187590131489
12377a46b3823
1318319c32c48
14ac8bbb30b9
155cd53a6b00
hex3472171bdb

225252416475 has 72 divisors (see below), whose sum is σ = 421262180352. Its totient is φ = 114838046400.

The previous prime is 225252416461. The next prime is 225252416483. The reversal of 225252416475 is 574614252522.

225252416475 is a `hidden beast` number, since 2 + 2 + 52 + 524 + 1 + 6 + 4 + 75 = 666.

It is not a de Polignac number, because 225252416475 - 28 = 225252416219 is a prime.

It is a super-2 number, since 2×2252524164752 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 225252416475.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8613670 + ... + 8639780.

It is an arithmetic number, because the mean of its divisors is an integer number (5850863616).

Almost surely, 2225252416475 is an apocalyptic number.

225252416475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225252416475 is a deficient number, since it is larger than the sum of its proper divisors (196009763877).

225252416475 is a wasteful number, since it uses less digits than its factorization.

225252416475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27817 (or 27809 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

Adding to 225252416475 its reverse (574614252522), we get a palindrome (799866668997).

The spelling of 225252416475 in words is "two hundred twenty-five billion, two hundred fifty-two million, four hundred sixteen thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 575 1035 1667 1725 5001 5175 8335 15003 25005 26111 38341 41675 75015 78333 115023 125025 130555 191705 234999 345069 375075 391665 575115 600553 652775 958525 1174995 1725345 1801659 1958325 2875575 3002765 5404977 5874975 8626725 9008295 15013825 27024885 43527037 45041475 130581111 135124425 217635185 391743333 652905555 1001121851 1088175925 1958716665 3003365553 3264527775 5005609255 9010096659 9793583325 15016827765 25028046275 45050483295 75084138825 225252416475