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2004220000 = 2554234357
BaseRepresentation
bin111011101110101…
…1111100001100000
312011200021220222101
41313131133201200
513101040020000
6530513220144
7100444405666
oct16735374140
95150256871
102004220000
1193936a172
1247b261654
1325c2c40c3
14150276c36
15bae47e6a
hex7775f860

2004220000 has 120 divisors (see below), whose sum is σ = 5146240176. Its totient is φ = 766656000.

The previous prime is 2004219983. The next prime is 2004220019. The reversal of 2004220000 is 224002.

It is a happy number.

2004220000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 457822 + ... + 462178.

Almost surely, 22004220000 is an apocalyptic number.

2004220000 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 2004220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573120088).

2004220000 is an abundant number, since it is smaller than the sum of its proper divisors (3142020176).

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

2004220000 is an equidigital number, since it uses as much as digits as its factorization.

2004220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2004220000 is about 44768.5157225477. The cubic root of 2004220000 is about 1260.8065718413.

Adding to 2004220000 its reverse (224002), we get a palindrome (2004444002).

The spelling of 2004220000 in words is "two billion, four million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3680 4000 4357 4600 5000 5750 8714 9200 10000 11500 14375 17428 18400 20000 21785 23000 28750 34856 43570 46000 57500 69712 87140 92000 100211 108925 115000 139424 174280 200422 217850 230000 348560 400844 435700 460000 501055 544625 697120 801688 871400 1002110 1089250 1603376 1742800 2004220 2178500 2505275 2723125 3206752 3485600 4008440 4357000 5010550 5446250 8016880 8714000 10021100 10892500 12526375 16033760 17428000 20042200 21785000 25052750 40084400 43570000 50105500 62631875 80168800 87140000 100211000 125263750 200422000 250527500 400844000 501055000 1002110000 2004220000