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220430336 = 2157312
BaseRepresentation
bin11010010001110…
…00000000000000
3120100210000120112
431020320000000
5422412232321
633512330452
75314425020
oct1510700000
9510700515
10220430336
11103477635
12619a3a28
133688b569
14213bda80
1514542a5b
hexd238000

220430336 has 96 divisors (see below), whose sum is σ = 520610040. Its totient is φ = 91422720.

The previous prime is 220430317. The next prime is 220430359. The reversal of 220430336 is 633034022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7110641 + ... + 7110671.

Almost surely, 2220430336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260305020).

220430336 is an abundant number, since it is smaller than the sum of its proper divisors (300179704).

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

220430336 is an frugal number, since it uses more digits than its factorization.

220430336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 220430336 is about 14846.8965107190. The cubic root of 220430336 is about 604.0744320067.

Adding to 220430336 its reverse (633034022), we get a palindrome (853464358).

The spelling of 220430336 in words is "two hundred twenty million, four hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 961 992 1024 1736 1792 1922 1984 2048 3472 3584 3844 3968 4096 6727 6944 7168 7688 7936 8192 13454 13888 14336 15376 15872 16384 26908 27776 28672 30752 31744 32768 53816 55552 57344 61504 63488 107632 111104 114688 123008 126976 215264 222208 229376 246016 253952 430528 444416 492032 507904 861056 888832 984064 1015808 1722112 1777664 1968128 3444224 3555328 3936256 6888448 7110656 7872512 13776896 15745024 27553792 31490048 55107584 110215168 220430336