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224259760328 = 231674292
BaseRepresentation
bin1101000011011011101…
…1000110000011001000
3210102212001022012101012
43100312323012003020
512133240444312303
6251005024543052
722126236340142
oct3206673060310
9712761265335
10224259760328
11871208741aa
1237568181a88
13181bc397646
14abd6017c92
155c781765d8
hex3436ec60c8

224259760328 has 12 divisors (see below), whose sum is σ = 420489562065. Its totient is φ = 112129210448.

The previous prime is 224259760313. The next prime is 224259760357. The reversal of 224259760328 is 823067952422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224259760328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 202498200004 + 21761560324 = 449998^2 + 147518^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334858.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1255718 + ... + 1423146.

Almost surely, 2224259760328 is an apocalyptic number.

It is an amenable number.

224259760328 is a deficient number, since it is larger than the sum of its proper divisors (196229801737).

224259760328 is an frugal number, since it uses more digits than its factorization.

224259760328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334864 (or 167431 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

Multiplying 224259760328 by its sum of digits (50), we get a square (11212988016400 = 33485802).

The spelling of 224259760328 in words is "two hundred twenty-four billion, two hundred fifty-nine million, seven hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 167429 334858 669716 1339432 28032470041 56064940082 112129880164 224259760328