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200112220 = 225711211813
BaseRepresentation
bin10111110110101…
…11100001011100
3111221112202100201
423323113201130
5402212042340
631505033244
74646632360
oct1373274134
9457482321
10200112220
11a2a5a300
1257025824
13325c63c9
141c8112a0
151287c79a
hexbed785c

200112220 has 72 divisors (see below), whose sum is σ = 527944032. Its totient is φ = 62367360.

The previous prime is 200112203. The next prime is 200112251. The reversal of 200112220 is 22211002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200112197 and 200112206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11034 + ... + 22846.

It is an arithmetic number, because the mean of its divisors is an integer number (7332556).

Almost surely, 2200112220 is an apocalyptic number.

200112220 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 200112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263972016).

200112220 is an abundant number, since it is smaller than the sum of its proper divisors (327831812).

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

200112220 is a wasteful number, since it uses less digits than its factorization.

200112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 200112220 is about 14146.1026434845. The cubic root of 200112220 is about 584.9129049485.

Adding to 200112220 its reverse (22211002), we get a palindrome (222323222).

The spelling of 200112220 in words is "two hundred million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 11813 16940 23626 47252 59065 82691 118130 129943 165382 236260 259886 330764 413455 519772 649715 826910 909601 1299430 1429373 1653820 1819202 2598860 2858746 3638404 4548005 5717492 7146865 9096010 10005611 14293730 18192020 20011222 28587460 40022444 50028055 100056110 200112220