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2221289472 = 2123414409
BaseRepresentation
bin1000010001100110…
…0011000000000000
312201210202012022110
42010121203000000
514022122230342
61004225535320
7106021435413
oct20431430000
95653665273
102221289472
11a3a950726
1251baa4540
1329527698c
1417101db7a
15d0024c9c
hex84663000

2221289472 has 104 divisors (see below), whose sum is σ = 6068548080. Its totient is φ = 722206720.

The previous prime is 2221289471. The next prime is 2221289489. The reversal of 2221289472 is 2749821222.

It is a self number, because there is not a number n which added to its sum of digits gives 2221289472.

It is not an unprimeable number, because it can be changed into a prime (2221289471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501604 + ... + 506012.

Almost surely, 22221289472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034274040).

2221289472 is an abundant number, since it is smaller than the sum of its proper divisors (3847258608).

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

2221289472 is an equidigital number, since it uses as much as digits as its factorization.

2221289472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4455 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 2221289472 is about 47130.5577306274. The cubic root of 2221289472 is about 1304.7732751554.

The spelling of 2221289472 in words is "two billion, two hundred twenty-one million, two hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3936 4096 4409 5248 6144 7872 8818 10496 12288 13227 15744 17636 20992 26454 31488 35272 41984 52908 62976 70544 83968 105816 125952 141088 167936 180769 211632 251904 282176 361538 423264 503808 542307 564352 723076 846528 1084614 1128704 1446152 1693056 2169228 2257408 2892304 3386112 4338456 4514816 5784608 6772224 8676912 9029632 11569216 13544448 17353824 18059264 23138432 27088896 34707648 46276864 54177792 69415296 92553728 138830592 185107456 277661184 370214912 555322368 740429824 1110644736 2221289472