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220340100 = 22352838849
BaseRepresentation
bin11010010001000…
…01111110000100
3120100121102210110
431020201332010
5422401340400
633510353020
75313600651
oct1510417604
9510542713
10220340100
11103415862
126195b770
1336859476
1421398c28
1514525e50
hexd221f84

220340100 has 72 divisors (see below), whose sum is σ = 645271200. Its totient is φ = 58042880.

The previous prime is 220340053. The next prime is 220340117. The reversal of 220340100 is 1043022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20476 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (8962100).

Almost surely, 2220340100 is an apocalyptic number.

220340100 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 220340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322635600).

220340100 is an abundant number, since it is smaller than the sum of its proper divisors (424931100).

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

220340100 is a wasteful number, since it uses less digits than its factorization.

220340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8949 (or 8942 counting only the distinct ones).

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

The square root of 220340100 is about 14843.8573154015. The cubic root of 220340100 is about 603.9919922041.

Adding to 220340100 its reverse (1043022), we get a palindrome (221383122).

The spelling of 220340100 in words is "two hundred twenty million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 8849 12450 17698 24900 26547 35396 44245 53094 88490 106188 132735 176980 221225 265470 442450 530940 663675 734467 884900 1327350 1468934 2203401 2654700 2937868 3672335 4406802 7344670 8813604 11017005 14689340 18361675 22034010 36723350 44068020 55085025 73446700 110170050 220340100