Search a number
-
+
2224788948 = 223261799693
BaseRepresentation
bin1000010010011011…
…1001010111010100
312202001022222200200
42010212321113110
514024021221243
61004432540500
7106063252104
oct20446712724
95661288620
102224788948
11a41920958
125210b1730
13295c00785
14171691204
15d04b6ad3
hex849b95d4

2224788948 has 18 divisors (see below), whose sum is σ = 5623772154. Its totient is φ = 741596304.

The previous prime is 2224788941. The next prime is 2224788949. The reversal of 2224788948 is 8498874222.

It can be written as a sum of positive squares in only one way, i.e., 2222933904 + 1855044 = 47148^2 + 1362^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 2224788894 and 2224788903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224788941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30899811 + ... + 30899882.

Almost surely, 22224788948 is an apocalyptic number.

It is an amenable number.

2224788948 is an abundant number, since it is smaller than the sum of its proper divisors (3398983206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2224788948 is a wasteful number, since it uses less digits than its factorization.

2224788948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61799703 (or 61799698 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 2224788948 is about 47167.6684605037. The cubic root of 2224788948 is about 1305.4581066622.

The spelling of 2224788948 in words is "two billion, two hundred twenty-four million, seven hundred eighty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61799693 123599386 185399079 247198772 370798158 556197237 741596316 1112394474 2224788948