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220024100 = 225210720563
BaseRepresentation
bin11010001110101…
…00110100100100
3120100000101022202
431013110310210
5422311232400
633455514032
75311113452
oct1507246444
9510011282
10220024100
1110321a3aa
1261828918
133677869a
14213159d2
15144b24d5
hexd1d4d24

220024100 has 36 divisors (see below), whose sum is σ = 481937904. Its totient is φ = 87182880.

The previous prime is 220024097. The next prime is 220024111. The reversal of 220024100 is 1420022.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 419 + ... + 20981.

It is an arithmetic number, because the mean of its divisors is an integer number (13387164).

Almost surely, 2220024100 is an apocalyptic number.

220024100 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 220024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240968952).

220024100 is an abundant number, since it is smaller than the sum of its proper divisors (261913804).

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

220024100 is a wasteful number, since it uses less digits than its factorization.

220024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20684 (or 20677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 220024100 is about 14833.2093627778. The cubic root of 220024100 is about 603.7031163808.

Adding to 220024100 its reverse (1420022), we get a palindrome (221444122).

The spelling of 220024100 in words is "two hundred twenty million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5350 10700 20563 41126 82252 102815 205630 411260 514075 1028150 2056300 2200241 4400482 8800964 11001205 22002410 44004820 55006025 110012050 220024100