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220255820 = 225233712941
BaseRepresentation
bin11010010000011…
…01011001001100
3120100110011011222
431020031121030
5422341141240
633504502512
75313100151
oct1510153114
9510404158
10220255820
11103368504
126191aa38
1336829cb5
1421376228
151450aeb5
hexd20d64c

220255820 has 48 divisors (see below), whose sum is σ = 495730368. Its totient is φ = 81987840.

The previous prime is 220255807. The next prime is 220255829. The reversal of 220255820 is 28552022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 220255820.

It is not an unprimeable number, because it can be changed into a prime (220255829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10550 + ... + 23490.

It is an arithmetic number, because the mean of its divisors is an integer number (10327716).

Almost surely, 2220255820 is an apocalyptic number.

220255820 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 220255820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247865184).

220255820 is an abundant number, since it is smaller than the sum of its proper divisors (275474548).

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

220255820 is a wasteful number, since it uses less digits than its factorization.

220255820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13010 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 220255820 is about 14841.0181591426. The cubic root of 220255820 is about 603.9149734850.

The spelling of 220255820 in words is "two hundred twenty million, two hundred fifty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 3404 4255 8510 12941 17020 25882 51764 64705 129410 258820 297643 478817 595286 957634 1190572 1488215 1915268 2394085 2976430 4788170 5952860 9576340 11012791 22025582 44051164 55063955 110127910 220255820