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2224000000 = 21056139
BaseRepresentation
bin1000010010001111…
…1000110000000000
312201222211220110101
42010203320300000
514023321000000
61004404012144
7106053455005
oct20443706000
95658756411
102224000000
11a41432132
12520991054
132959b5641
141715278ac
15d03ace6a
hex848f8c00

2224000000 has 154 divisors (see below), whose sum is σ = 5597193980. Its totient is φ = 883200000.

The previous prime is 2223999961. The next prime is 2224000067. The reversal of 2224000000 is 4222.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999931 + ... + 16000069.

Almost surely, 22224000000 is an apocalyptic number.

2224000000 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 2224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798596990).

2224000000 is an abundant number, since it is smaller than the sum of its proper divisors (3373193980).

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

2224000000 is an frugal number, since it uses more digits than its factorization.

2224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 146 counting only the distinct ones).

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

The square root of 2224000000 is about 47159.3044902064. The cubic root of 2224000000 is about 1305.3037758688.

Adding to 2224000000 its reverse (4222), we get a palindrome (2224004222).

The spelling of 2224000000 in words is "two billion, two hundred twenty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 139 160 200 250 256 278 320 400 500 512 556 625 640 695 800 1000 1024 1112 1250 1280 1390 1600 2000 2224 2500 2560 2780 3125 3200 3475 4000 4448 5000 5120 5560 6250 6400 6950 8000 8896 10000 11120 12500 12800 13900 15625 16000 17375 17792 20000 22240 25000 25600 27800 31250 32000 34750 35584 40000 44480 50000 55600 62500 64000 69500 71168 80000 86875 88960 100000 111200 125000 128000 139000 142336 160000 173750 177920 200000 222400 250000 278000 320000 347500 355840 400000 434375 444800 500000 556000 640000 695000 711680 800000 868750 889600 1000000 1112000 1390000 1600000 1737500 1779200 2000000 2171875 2224000 2780000 3200000 3475000 3558400 4000000 4343750 4448000 5560000 6950000 8000000 8687500 8896000 11120000 13900000 16000000 17375000 17792000 22240000 27800000 34750000 44480000 55600000 69500000 88960000 111200000 139000000 222400000 278000000 444800000 556000000 1112000000 2224000000