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220454344100 = 225218541118901
BaseRepresentation
bin1100110101010000011…
…0100101010110100100
3210002000211202000200102
43031110012211112210
512102442303002400
6245135245403232
721633031002164
oct3152406452644
9702024660612
10220454344100
1185548803711
1236885869518
1317a33b84b73
14a9548765a4
155b0403a9d5
hex33541a55a4

220454344100 has 36 divisors (see below), whose sum is σ = 478415751828. Its totient is φ = 88176240000.

The previous prime is 220454344093. The next prime is 220454344181. The reversal of 220454344100 is 1443454022.

It can be written as a sum of positive squares in 6 ways, for example, as 10270606336 + 210183737764 = 101344^2 + 458458^2 .

It is a super-2 number, since 2×2204543441002 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1794650 + ... + 1913550.

Almost surely, 2220454344100 is an apocalyptic number.

220454344100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220454344100 is an abundant number, since it is smaller than the sum of its proper divisors (257961407728).

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

220454344100 is a wasteful number, since it uses less digits than its factorization.

220454344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137456 (or 137449 counting only the distinct ones).

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

Adding to 220454344100 its reverse (1443454022), we get a palindrome (221897798122).

The spelling of 220454344100 in words is "two hundred twenty billion, four hundred fifty-four million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 18541 37082 74164 92705 118901 185410 237802 370820 463525 475604 594505 927050 1189010 1854100 2378020 2972525 5945050 11890100 2204543441 4409086882 8818173764 11022717205 22045434410 44090868820 55113586025 110227172050 220454344100