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2200120000 = 2654134231
BaseRepresentation
bin1000001100100011…
…0010101011000000
312200022220200020221
42003020302223000
514001212320000
61002152112424
7105343466011
oct20310625300
95608820227
102200120000
11a29a017a1
12514995714
13290a74170
1416c2ad008
15cd24261a
hex83232ac0

2200120000 has 140 divisors (see below), whose sum is σ = 5876631376. Its totient is φ = 812160000.

The previous prime is 2200119973. The next prime is 2200120009. The reversal of 2200120000 is 210022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2200120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 517885 + ... + 522115.

Almost surely, 22200120000 is an apocalyptic number.

2200120000 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 2200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938315688).

2200120000 is an abundant number, since it is smaller than the sum of its proper divisors (3676511376).

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

2200120000 is an equidigital number, since it uses as much as digits as its factorization.

2200120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2200120000 is about 46905.4367850892. The cubic root of 2200120000 is about 1300.6150935387.

Adding to 2200120000 its reverse (210022), we get a palindrome (2200330022).

The spelling of 2200120000 in words is "two billion, two hundred million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 4231 5000 5200 6500 8000 8125 8462 10000 10400 13000 16250 16924 20000 20800 21155 26000 32500 33848 40000 42310 52000 55003 65000 67696 84620 104000 105775 110006 130000 135392 169240 211550 220012 260000 270784 275015 338480 423100 440024 520000 528875 550030 676960 846200 880048 1057750 1100060 1353920 1375075 1692400 1760096 2115500 2200120 2644375 2750150 3384800 3520192 4231000 4400240 5288750 5500300 6769600 6875375 8462000 8800480 10577500 11000600 13750750 16924000 17600960 21155000 22001200 27501500 33848000 34376875 42310000 44002400 55003000 68753750 84620000 88004800 110006000 137507500 169240000 220012000 275015000 440024000 550030000 1100060000 2200120000