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220002101200 = 24527211224597
BaseRepresentation
bin1100110011100100100…
…1011010011111010000
3210000212022202201001101
43030321021122133100
512101031014214300
6245022332314144
721615600001600
oct3147111323720
9700768681041
10220002101200
11853364a5952
123677a312954
131799128130b
14a910792c00
155ac94a7b6a
hex333925a7d0

220002101200 has 90 divisors (see below), whose sum is σ = 614849804646. Its totient is φ = 75429285120.

The previous prime is 220002101177. The next prime is 220002101239. The reversal of 220002101200 is 2101200022.

220002101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 38174907456 + 181827193744 = 195384^2 + 426412^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 5592699 + ... + 5631898.

Almost surely, 2220002101200 is an apocalyptic number.

220002101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002101200 is an abundant number, since it is smaller than the sum of its proper divisors (394847703446).

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

220002101200 is a wasteful number, since it uses less digits than its factorization.

220002101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224629 (or 11224611 counting only the distinct ones).

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

Adding to 220002101200 its reverse (2101200022), we get a palindrome (222103301222).

The spelling of 220002101200 in words is "two hundred twenty billion, two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 11224597 22449194 44898388 56122985 78572179 89796776 112245970 157144358 179593552 224491940 280614925 314288716 392860895 448983880 550005253 561229850 628577432 785721790 897967760 1100010506 1122459700 1257154864 1571443580 1964304475 2200021012 2244919400 2750026265 3142887160 3928608950 4400042024 4489838800 5500052530 6285774320 7857217900 8800084048 11000105060 13750131325 15714435800 22000210120 27500262650 31428871600 44000420240 55000525300 110001050600 220002101200