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200120002200 = 233252154372053
BaseRepresentation
bin1011101001100000010…
…1001110011010011000
3201010112201002102120100
42322120011032122120
511234321210032300
6231533414055400
720313105644436
oct2723005163230
9633481072510
10200120002200
1177963584678
123294b94a560
1315b431470b1
149985ddbd56
155313c7a700
hex2e9814e698

200120002200 has 144 divisors (see below), whose sum is σ = 672514567920. Its totient is φ = 53330008320.

The previous prime is 200120002133. The next prime is 200120002217. The reversal of 200120002200 is 2200021002.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2741374 + ... + 2813426.

It is an arithmetic number, because the mean of its divisors is an integer number (4670240055).

Almost surely, 2200120002200 is an apocalyptic number.

200120002200 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 200120002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336257283960).

200120002200 is an abundant number, since it is smaller than the sum of its proper divisors (472394565720).

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

200120002200 is a wasteful number, since it uses less digits than its factorization.

200120002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73618 (or 73606 counting only the distinct ones).

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

Adding to 200120002200 its reverse (2200021002), we get a palindrome (202320023202).

The spelling of 200120002200 in words is "two hundred billion, one hundred twenty million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1543 1800 3086 4629 6172 7715 9258 12344 13887 15430 18516 23145 27774 30860 37032 38575 46290 55548 61720 69435 72053 77150 92580 111096 115725 138870 144106 154300 185160 216159 231450 277740 288212 308600 347175 360265 432318 462900 555480 576424 648477 694350 720530 864636 925800 1080795 1296954 1388700 1441060 1729272 1801325 2161590 2593908 2777400 2882120 3242385 3602650 4323180 5187816 5403975 6484770 7205300 8646360 10807950 12969540 14410600 16211925 21615900 25939080 32423850 43231800 64847700 111177779 129695400 222355558 333533337 444711116 555888895 667066674 889422232 1000600011 1111777790 1334133348 1667666685 2001200022 2223555580 2668266696 2779444475 3335333370 4002400044 4447111160 5003000055 5558888950 6670666740 8004800088 8338333425 10006000110 11117777900 13341333480 16676666850 20012000220 22235555800 25015000275 33353333700 40024000440 50030000550 66706667400 100060001100 200120002200