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2222233000 = 235313199859
BaseRepresentation
bin1000010001110100…
…1001010110101000
312201212112010120221
42010131021112220
514022342424000
61004302055424
7106032445261
oct20435112650
95655463527
102222233000
11a404355a9
1252027a574
13295517290
141711c7968
15d015e61a
hex847495a8

2222233000 has 128 divisors (see below), whose sum is σ = 5634720000. Its totient is φ = 815443200.

The previous prime is 2222232973. The next prime is 2222233001. The reversal of 2222233000 is 3322222.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2222233001) 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 31 ways as a sum of consecutive naturals, for example, 2586571 + ... + 2587429.

It is an arithmetic number, because the mean of its divisors is an integer number (44021250).

Almost surely, 22222233000 is an apocalyptic number.

2222233000 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 2222233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817360000).

2222233000 is an abundant number, since it is smaller than the sum of its proper divisors (3412487000).

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

2222233000 is a wasteful number, since it uses less digits than its factorization.

2222233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2222233000 is about 47140.5663945609. The cubic root of 2222233000 is about 1304.9579900649.

Adding to 2222233000 its reverse (3322222), we get a palindrome (2225555222).

The spelling of 2222233000 in words is "two billion, two hundred twenty-two million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 199 200 250 260 325 398 500 520 650 796 859 995 1000 1300 1592 1625 1718 1990 2587 2600 3250 3436 3980 4295 4975 5174 6500 6872 7960 8590 9950 10348 11167 12935 13000 17180 19900 20696 21475 22334 24875 25870 34360 39800 42950 44668 49750 51740 55835 64675 85900 89336 99500 103480 107375 111670 129350 170941 171800 199000 214750 223340 258700 279175 323375 341882 429500 446680 517400 558350 646750 683764 854705 859000 1116700 1293500 1367528 1395875 1709410 2222233 2233400 2587000 2791750 3418820 4273525 4444466 5583500 6837640 8547050 8888932 11111165 11167000 17094100 17777864 21367625 22222330 34188200 42735250 44444660 55555825 85470500 88889320 111111650 170941000 222223300 277779125 444446600 555558250 1111116500 2222233000