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220012100 = 225271128573
BaseRepresentation
bin11010001110100…
…01111001000100
3120022222202212022
431013101321010
5422310341400
633455342312
75311033460
oct1507217104
9508882768
10220012100
11103211390
1261821998
1336773099
14213114a0
15144adb85
hexd1d1e44

220012100 has 72 divisors (see below), whose sum is σ = 595253568. Its totient is φ = 68572800.

The previous prime is 220012097. The next prime is 220012103. The reversal of 220012100 is 1210022.

It is an interprime number because it is at equal distance from previous prime (220012097) and next prime (220012103).

It is not an unprimeable number, because it can be changed into a prime (220012103) 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 23 ways as a sum of consecutive naturals, for example, 6587 + ... + 21986.

Almost surely, 2220012100 is an apocalyptic number.

220012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220012100 is an abundant number, since it is smaller than the sum of its proper divisors (375241468).

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

220012100 is a wasteful number, since it uses less digits than its factorization.

220012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28605 (or 28598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 220012100 is about 14832.8048594998. The cubic root of 220012100 is about 603.6921409632.

Adding to 220012100 its reverse (1210022), we get a palindrome (221222122).

The spelling of 220012100 in words is "two hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 28573 57146 114292 142865 200011 285730 314303 400022 571460 628606 714325 800044 1000055 1257212 1428650 1571515 2000110 2200121 2857300 3143030 4000220 4400242 5000275 6286060 7857575 8800484 10000550 11000605 15715150 20001100 22001210 31430300 44002420 55003025 110006050 220012100