Search a number
-
+
22428253 = 1737181197
BaseRepresentation
bin101010110001…
…1101001011101
31120012110210001
41111203221131
521220201003
62120414301
7361431331
oct125435135
946173701
1022428253
1111729751
127617391
134853773
142d9b7c1
151e8061d
hex1563a5d

22428253 has 16 divisors (see below), whose sum is σ = 24648624. Its totient is φ = 20321280.

The previous prime is 22428233. The next prime is 22428257. The reversal of 22428253 is 35282422.

It is a happy number.

22428253 is a nontrivial binomial coefficient, being equal to C(6698, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 2732409 + 19695844 = 1653^2 + 4438^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22428253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22428257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113751 + ... + 113947.

It is an arithmetic number, because the mean of its divisors is an integer number (1540539).

Almost surely, 222428253 is an apocalyptic number.

22428253 is the 6697-th triangular number and also the 3349-th hexagonal number.

22428253 is the 2233-rd centered nonagonal number.

It is an amenable number.

22428253 is a deficient number, since it is larger than the sum of its proper divisors (2220371).

22428253 is a wasteful number, since it uses less digits than its factorization.

22428253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its digits is 7680, while the sum is 28.

The square root of 22428253 is about 4735.8476537997. The cubic root of 22428253 is about 282.0104157580.

It can be divided in two parts, 22 and 428253, that added together give a triangular number (428275 = T925).

The spelling of 22428253 in words is "twenty-two million, four hundred twenty-eight thousand, two hundred fifty-three".

Divisors: 1 17 37 181 197 629 3077 3349 6697 7289 35657 113849 123913 606169 1319309 22428253