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220130432 = 273894421
BaseRepresentation
bin11010001111011…
…10110010000000
3120100012210011222
431013232302000
5422323133212
633502054212
75312035454
oct1507566200
9510183158
10220130432
11103292285
126187a368
13367b4bc2
1421342664
15144d3c72
hexd1eec80

220130432 has 32 divisors (see below), whose sum is σ = 439767900. Its totient is φ = 109757440.

The previous prime is 220130431. The next prime is 220130437. The reversal of 220130432 is 234031022.

220130432 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 219750976 + 379456 = 14824^2 + 616^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 220130432.

It is not an unprimeable number, because it can be changed into a prime (220130431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47582 + ... + 52002.

Almost surely, 2220130432 is an apocalyptic number.

It is an amenable number.

220130432 is a deficient number, since it is larger than the sum of its proper divisors (219637468).

220130432 is an equidigital number, since it uses as much as digits as its factorization.

220130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 220130432 is about 14836.7931845126. The cubic root of 220130432 is about 603.8003521254.

Adding to 220130432 its reverse (234031022), we get a palindrome (454161454).

The spelling of 220130432 in words is "two hundred twenty million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 389 778 1556 3112 4421 6224 8842 12448 17684 24896 35368 49792 70736 141472 282944 565888 1719769 3439538 6879076 13758152 27516304 55032608 110065216 220130432