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2224128405 = 352323712719
BaseRepresentation
bin1000010010010001…
…1000000110010101
312202000002102121010
42010210120012111
514023334102110
61004410442433
7106054531242
oct20444300625
95660072533
102224128405
11a4150a654
12520a33419
13295a2bc15
1417155c5c9
15d03d6020
hex84918195

2224128405 has 32 divisors (see below), whose sum is σ = 3716259840. Its totient is φ = 1133732160.

The previous prime is 2224128397. The next prime is 2224128409. The reversal of 2224128405 is 5048214222.

It is not a de Polignac number, because 2224128405 - 23 = 2224128397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224128409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816636 + ... + 819354.

It is an arithmetic number, because the mean of its divisors is an integer number (116133120).

Almost surely, 22224128405 is an apocalyptic number.

It is an amenable number.

2224128405 is a deficient number, since it is larger than the sum of its proper divisors (1492131435).

2224128405 is a wasteful number, since it uses less digits than its factorization.

2224128405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121.

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 2224128405 is about 47160.6658668005. The cubic root of 2224128405 is about 1305.3288964182.

The spelling of 2224128405 in words is "two billion, two hundred twenty-four million, one hundred twenty-eight thousand, four hundred five".

Divisors: 1 3 5 15 23 69 115 345 2371 2719 7113 8157 11855 13595 35565 40785 54533 62537 163599 187611 272665 312685 817995 938055 6446749 19340247 32233745 96701235 148275227 444825681 741376135 2224128405