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200012220 = 223351732141
BaseRepresentation
bin10111110101111…
…11000110111100
3111221100200012000
423322333012330
5402200342340
631502542300
74646035002
oct1372770674
9457320160
10200012220
11a29a1161
1256b97990
133258ca35
141c7c6a72
151285cd30
hexbebf1bc

200012220 has 96 divisors (see below), whose sum is σ = 626149440. Its totient is φ = 53003520.

The previous prime is 200012207. The next prime is 200012233. The reversal of 200012220 is 22210002.

It is an interprime number because it is at equal distance from previous prime (200012207) and next prime (200012233).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92350 + ... + 94490.

It is an arithmetic number, because the mean of its divisors is an integer number (6522390).

Almost surely, 2200012220 is an apocalyptic number.

200012220 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 200012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313074720).

200012220 is an abundant number, since it is smaller than the sum of its proper divisors (426137220).

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

200012220 is a wasteful number, since it uses less digits than its factorization.

200012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200012220 is about 14142.5676593750. The cubic root of 200012220 is about 584.8154578989.

Adding to 200012220 its reverse (22210002), we get a palindrome (222222222).

The spelling of 200012220 in words is "two hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 173 180 270 346 519 540 692 865 1038 1557 1730 2076 2141 2595 3114 3460 4282 4671 5190 6228 6423 7785 8564 9342 10380 10705 12846 15570 18684 19269 21410 23355 25692 31140 32115 38538 42820 46710 57807 64230 77076 93420 96345 115614 128460 192690 231228 289035 370393 385380 578070 740786 1111179 1156140 1481572 1851965 2222358 3333537 3703930 4444716 5555895 6667074 7407860 10000611 11111790 13334148 16667685 20001222 22223580 33335370 40002444 50003055 66670740 100006110 200012220