Search a number
-
+
16252425225 = 345228332
BaseRepresentation
bin11110010001011100…
…00101010000001001
31112221122210202010000
433020232011100021
5231241110101400
611244413513213
71113515222631
oct171056052011
945848722100
1016252425225
116990085693
123196aa2809
1316c016777a
14b026bd6c1
15651c58600
hex3c8b85409

16252425225 has 45 divisors (see below), whose sum is σ = 30115739973. Its totient is φ = 8664900480.

The previous prime is 16252425223. The next prime is 16252425239. The reversal of 16252425225 is 52252425261.

The square root of 16252425225 is 127485.

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

16252425225 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 2 + 425 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 996222969 + 15256202256 = 31563^2 + 123516^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 16252425225 - 21 = 16252425223 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16252425225.

It is not an unprimeable number, because it can be changed into a prime (16252425223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5735409 + ... + 5738241.

Almost surely, 216252425225 is an apocalyptic number.

16252425225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16252425225 is the 127485-th square number.

16252425225 is the 63743-rd centered octagonal number.

It is an amenable number.

16252425225 is a deficient number, since it is larger than the sum of its proper divisors (13863314748).

16252425225 is an frugal number, since it uses more digits than its factorization.

16252425225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 2841 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 16252425225 its sum of digits (36), we get a palindrome (16252425261).

Multiplying 16252425225 by its sum of digits (36), we get a square (585087308100 = 7649102).

The spelling of 16252425225 in words is "sixteen billion, two hundred fifty-two million, four hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2833 8499 14165 25497 42495 70825 76491 127485 212475 229473 382455 637425 1147365 1912275 5736825 8025889 24077667 40129445 72233001 120388335 200647225 216699003 361165005 601941675 650097009 1083495015 1805825025 3250485045 5417475075 16252425225