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2244213450 = 2325253731289
BaseRepresentation
bin1000010111000011…
…1111101011001010
312210101212212002200
42011300333223022
514044004312300
61010405141030
7106420333233
oct20560775312
95711785080
102244213450
11a51888866
125276ba776
13299c41c6b
141740aa08a
15d2052200
hex85c3faca

2244213450 has 144 divisors (see below), whose sum is σ = 6232201560. Its totient is φ = 578672640.

The previous prime is 2244213427. The next prime is 2244213451. The reversal of 2244213450 is 543124422.

It can be written as a sum of positive squares in 12 ways, for example, as 647651601 + 1596561849 = 25449^2 + 39957^2 .

It is not an unprimeable number, because it can be changed into a prime (2244213451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1740406 + ... + 1741694.

Almost surely, 22244213450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244213450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116100780).

2244213450 is an abundant number, since it is smaller than the sum of its proper divisors (3987988110).

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

2244213450 is a wasteful number, since it uses less digits than its factorization.

2244213450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2244213450 is about 47373.1300422507. The cubic root of 2244213450 is about 1309.2463956071.

Adding to 2244213450 its reverse (543124422), we get a palindrome (2787337872).

The spelling of 2244213450 in words is "two billion, two hundred forty-four million, two hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 73 75 90 106 146 150 159 219 225 265 318 365 438 450 477 530 657 730 795 954 1095 1289 1314 1325 1590 1825 2190 2385 2578 2650 3285 3650 3867 3869 3975 4770 5475 6445 6570 7734 7738 7950 10950 11601 11607 11925 12890 16425 19335 19345 23202 23214 23850 32225 32850 34821 38670 38690 58005 58035 64450 68317 69642 94097 96675 96725 116010 116070 136634 174105 188194 193350 193450 204951 282291 290025 290175 341585 348210 409902 470485 564582 580050 580350 614853 683170 846873 870525 940970 1024755 1229706 1411455 1693746 1707925 1741050 2049510 2352425 2822910 3074265 3415850 4234365 4704850 4987141 5123775 6148530 7057275 8468730 9974282 10247550 14114550 14961423 15371325 21171825 24935705 29922846 30742650 42343650 44884269 49871410 74807115 89768538 124678525 149614230 224421345 249357050 374035575 448842690 748071150 1122106725 2244213450