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2201320000 = 2654115003
BaseRepresentation
bin1000001100110101…
…0111101001000000
312200102011122100101
42003031113221000
514002014220000
61002233532144
7105356624365
oct20315275100
95612148311
102201320000
11a2a651330
12515274054
132910a4419
1416c50246c
15cd3cce6a
hex83357a40

2201320000 has 140 divisors (see below), whose sum is σ = 5955980976. Its totient is φ = 800320000.

The previous prime is 2201319937. The next prime is 2201320003. The reversal of 2201320000 is 231022.

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

It is not an unprimeable number, because it can be changed into a prime (2201320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 437499 + ... + 442501.

Almost surely, 22201320000 is an apocalyptic number.

2201320000 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 2201320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977990488).

2201320000 is an abundant number, since it is smaller than the sum of its proper divisors (3754660976).

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

2201320000 is an equidigital number, since it uses as much as digits as its factorization.

2201320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2201320000 is about 46918.2267354596. The cubic root of 2201320000 is about 1300.8515131344.

Adding to 2201320000 its reverse (231022), we get a palindrome (2201551022).

The spelling of 2201320000 in words is "two billion, two hundred one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5003 5500 6875 8000 8800 10000 10006 11000 13750 17600 20000 20012 22000 25015 27500 40000 40024 44000 50030 55000 55033 80048 88000 100060 110000 110066 125075 160096 200120 220000 220132 250150 275165 320192 400240 440000 440264 500300 550330 625375 800480 880528 1000600 1100660 1250750 1375825 1600960 1761056 2001200 2201320 2501500 2751650 3126875 3522112 4002400 4402640 5003000 5503300 6253750 6879125 8004800 8805280 10006000 11006600 12507500 13758250 17610560 20012000 22013200 25015000 27516500 34395625 40024000 44026400 50030000 55033000 68791250 88052800 100060000 110066000 137582500 200120000 220132000 275165000 440264000 550330000 1100660000 2201320000