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220900050 = 232527233049
BaseRepresentation
bin11010010101010…
…10101011010010
3120101122212220100
431022222223102
5423022300200
633530353230
75321422320
oct1512525322
9511585810
10220900050
11103768528
1261b8b816
13369c42b7
14214a2d10
15145d6d00
hexd2aaad2

220900050 has 144 divisors (see below), whose sum is σ = 707990400. Its totient is φ = 48280320.

The previous prime is 220900049. The next prime is 220900081. The reversal of 220900050 is 50009022.

220900050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220899996 and 220900032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70926 + ... + 73974.

It is an arithmetic number, because the mean of its divisors is an integer number (4916600).

Almost surely, 2220900050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220900050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353995200).

220900050 is an abundant number, since it is smaller than the sum of its proper divisors (487090350).

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

220900050 is a wasteful number, since it uses less digits than its factorization.

220900050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 220900050 is about 14862.7066848539. The cubic root of 220900050 is about 604.5032007498.

Adding to 220900050 its reverse (50009022), we get a palindrome (270909072).

The spelling of 220900050 in words is "two hundred twenty million, nine hundred thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 25 30 35 42 45 46 50 63 69 70 75 90 105 115 126 138 150 161 175 207 210 225 230 315 322 345 350 414 450 483 525 575 630 690 805 966 1035 1050 1150 1449 1575 1610 1725 2070 2415 2898 3049 3150 3450 4025 4830 5175 6098 7245 8050 9147 10350 12075 14490 15245 18294 21343 24150 27441 30490 36225 42686 45735 54882 64029 70127 72450 76225 91470 106715 128058 137205 140254 152450 192087 210381 213430 228675 274410 320145 350635 384174 420762 457350 490889 533575 631143 640290 686025 701270 960435 981778 1051905 1067150 1262286 1372050 1472667 1600725 1753175 1920870 2103810 2454445 2945334 3155715 3201450 3506350 4418001 4802175 4908890 5259525 6311430 7363335 8836002 9604350 10519050 12272225 14726670 15778575 22090005 24544450 31557150 36816675 44180010 73633350 110450025 220900050