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2145432224 = 251312894001
BaseRepresentation
bin111111111100000…
…1011001010100000
312112112000020201202
41333320023022200
513343212312344
6552520020332
7104110605305
oct17770131240
95475006652
102145432224
11a01049a91
124ba6016a8
13282637130
14164d150ac
15c853d94e
hex7fe0b2a0

2145432224 has 48 divisors (see below), whose sum is σ = 4553395560. Its totient is φ = 989184000.

The previous prime is 2145432199. The next prime is 2145432227. The reversal of 2145432224 is 4222345412.

It can be written as a sum of positive squares in 4 ways, for example, as 1229764624 + 915667600 = 35068^2 + 30260^2 .

It is not an unprimeable number, because it can be changed into a prime (2145432227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534224 + ... + 538224.

Almost surely, 22145432224 is an apocalyptic number.

It is an amenable number.

2145432224 is an abundant number, since it is smaller than the sum of its proper divisors (2407963336).

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

2145432224 is a wasteful number, since it uses less digits than its factorization.

2145432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5305 counting only the distinct ones).

The product of its digits is 15360, while the sum is 29.

The square root of 2145432224 is about 46318.8106928492. The cubic root of 2145432224 is about 1289.7482079725.

Adding to 2145432224 its reverse (4222345412), we get a palindrome (6367777636).

The spelling of 2145432224 in words is "two billion, one hundred forty-five million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1289 2578 4001 5156 8002 10312 16004 16757 20624 32008 33514 41248 52013 64016 67028 104026 128032 134056 208052 268112 416104 536224 832208 1664416 5157289 10314578 20629156 41258312 67044757 82516624 134089514 165033248 268179028 536358056 1072716112 2145432224