Search a number
-
+
22500261 = 34725669
BaseRepresentation
bin101010111010…
…1001110100101
31120100010120000
41111311032211
521230002021
62122131513
7362151300
oct125651645
946303500
1022500261
1111778863
127650b99
13487a484
142db9b37
151e96b26
hex15753a5

22500261 has 30 divisors (see below), whose sum is σ = 39105990. Its totient is φ = 12855024.

The previous prime is 22500241. The next prime is 22500271. The reversal of 22500261 is 16200522.

It can be written as a sum of positive squares in only one way, i.e., 16769025 + 5731236 = 4095^2 + 2394^2 .

It is not a de Polignac number, because 22500261 - 25 = 22500229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22500211) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1135 + ... + 6803.

It is an arithmetic number, because the mean of its divisors is an integer number (1303533).

Almost surely, 222500261 is an apocalyptic number.

22500261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22500261 is a deficient number, since it is larger than the sum of its proper divisors (16605729).

22500261 is an equidigital number, since it uses as much as digits as its factorization.

22500261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22500261 is about 4743.4440019884. Note that the first 3 decimals coincide. The cubic root of 22500261 is about 282.3119002619.

Adding to 22500261 its reverse (16200522), we get a palindrome (38700783).

The spelling of 22500261 in words is "twenty-two million, five hundred thousand, two hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 5669 17007 39683 51021 119049 153063 277781 357147 459189 833343 1071441 2500029 3214323 7500087 22500261