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220321020 = 223517613541
BaseRepresentation
bin11010010000111…
…01010011111100
3120100120110121210
431020131103330
5422400233040
633510124420
75313461223
oct1510352374
9510513553
10220321020
11103402497
1261950710
133685088a
1421391cba
1514520480
hexd21d4fc

220321020 has 96 divisors (see below), whose sum is σ = 664082496. Its totient is φ = 54374400.

The previous prime is 220321009. The next prime is 220321021. The reversal of 220321020 is 20123022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220320987 and 220321005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220321021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60450 + ... + 63990.

It is an arithmetic number, because the mean of its divisors is an integer number (6917526).

Almost surely, 2220321020 is an apocalyptic number.

220321020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332041248).

220321020 is an abundant number, since it is smaller than the sum of its proper divisors (443761476).

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

220321020 is a wasteful number, since it uses less digits than its factorization.

220321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220321020 is about 14843.2146113974. The cubic root of 220321020 is about 603.9745577927.

Adding to 220321020 its reverse (20123022), we get a palindrome (240444042).

The spelling of 220321020 in words is "two hundred twenty million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 610 732 915 1020 1037 1220 1830 2074 3111 3541 3660 4148 5185 6222 7082 10370 10623 12444 14164 15555 17705 20740 21246 31110 35410 42492 53115 60197 62220 70820 106230 120394 180591 212460 216001 240788 300985 361182 432002 601970 648003 722364 864004 902955 1080005 1203940 1296006 1805910 2160010 2592012 3240015 3611820 3672017 4320020 6480030 7344034 11016051 12960060 14688068 18360085 22032102 36720170 44064204 55080255 73440340 110160510 220321020