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22414300100 = 2252297729069
BaseRepresentation
bin10100110111111111…
…110001001111000100
32010212002110102100222
4110313333301033010
5331401030100400
614144052123512
71422306256463
oct246777611704
963762412328
1022414300100
119562319465
124416606598
13216292c48a
141128bc89da
158b2bb9185
hex537ff13c4

22414300100 has 36 divisors (see below), whose sum is σ = 50316245700. Its totient is φ = 8656556160.

The previous prime is 22414300093. The next prime is 22414300121. The reversal of 22414300100 is 100341422.

It can be written as a sum of positive squares in 6 ways, for example, as 699919936 + 21714380164 = 26456^2 + 147358^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3861635 + ... + 3867434.

Almost surely, 222414300100 is an apocalyptic number.

22414300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22414300100 is an abundant number, since it is smaller than the sum of its proper divisors (27901945600).

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

22414300100 is a wasteful number, since it uses less digits than its factorization.

22414300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7729112 (or 7729105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22414300100 its reverse (100341422), we get a palindrome (22514641522).

The spelling of 22414300100 in words is "twenty-two billion, four hundred fourteen million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 7729069 15458138 30916276 38645345 77290690 154581380 193226725 224143001 386453450 448286002 772906900 896572004 1120715005 2241430010 4482860020 5603575025 11207150050 22414300100