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2225166525 = 335229311251
BaseRepresentation
bin1000010010100001…
…0101100010111101
312202002001011122000
42010220111202331
514024120312100
61004445012513
7106066413651
oct20450254275
95662034560
102225166525
11a420595aa
12521254139
132960035aa
1417174ca61
15d053d900
hex84a158bd

2225166525 has 48 divisors (see below), whose sum is σ = 4102029120. Its totient is φ = 1182600000.

The previous prime is 2225166523. The next prime is 2225166553. The reversal of 2225166525 is 5256615222.

2225166525 is a `hidden beast` number, since 2 + 22 + 51 + 66 + 525 = 666.

It is not a de Polignac number, because 2225166525 - 21 = 2225166523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2225166525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225166523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192150 + ... + 203400.

It is an arithmetic number, because the mean of its divisors is an integer number (85458940).

Almost surely, 22225166525 is an apocalyptic number.

2225166525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2225166525 is a deficient number, since it is larger than the sum of its proper divisors (1876862595).

2225166525 is a wasteful number, since it uses less digits than its factorization.

2225166525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11563 (or 11552 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 2225166525 is about 47171.6707887266. The cubic root of 2225166525 is about 1305.5319538278.

The spelling of 2225166525 in words is "two billion, two hundred twenty-five million, one hundred sixty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 293 675 879 1465 2637 4395 7325 7911 11251 13185 21975 33753 39555 56255 65925 101259 168765 197775 281275 303777 506295 843825 1518885 2531475 3296543 7594425 9889629 16482715 29668887 49448145 82413575 89006661 148344435 247240725 445033305 741722175 2225166525