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2224545696 = 25327724117
BaseRepresentation
bin1000010010010111…
…1101111110100000
312202000212122000100
42010211331332200
514023440430241
61004423422400
7106061216652
oct20445757640
95660778010
102224545696
11a4177511a
12520bb4a00
13295b46b39
1417162a6d2
15d04699b6
hex8497dfa0

2224545696 has 36 divisors (see below), whose sum is σ = 6326052642. Its totient is φ = 741515136.

The previous prime is 2224545691. The next prime is 2224545731. The reversal of 2224545696 is 6965454222.

2224545696 is a `hidden beast` number, since 22 + 24 + 545 + 69 + 6 = 666.

2224545696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1525683600 + 698862096 = 39060^2 + 26436^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2224545691) 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, 3861771 + ... + 3862346.

Almost surely, 22224545696 is an apocalyptic number.

It is an amenable number.

2224545696 is an abundant number, since it is smaller than the sum of its proper divisors (4101506946).

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

2224545696 is a wasteful number, since it uses less digits than its factorization.

2224545696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724133 (or 7724122 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2224545696 is about 47165.0898016743. The cubic root of 2224545696 is about 1305.4105265880.

It can be divided in two parts, 222454 and 5696, that added together give a triangular number (228150 = T675).

The spelling of 2224545696 in words is "two billion, two hundred twenty-four million, five hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7724117 15448234 23172351 30896468 46344702 61792936 69517053 92689404 123585872 139034106 185378808 247171744 278068212 370757616 556136424 741515232 1112272848 2224545696