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2222249328 = 2432132351613
BaseRepresentation
bin1000010001110100…
…1101010101110000
312201212112221222200
42010131031111300
514022343434303
61004302303200
7106032544005
oct20435152560
95655487880
102222249328
11a404468a2
12520287b00
13295521840
141711cd8ac
15d01643a3
hex8474d570

2222249328 has 120 divisors (see below), whose sum is σ = 6988948512. Its totient is φ = 654027264.

The previous prime is 2222249297. The next prime is 2222249363. The reversal of 2222249328 is 8239422222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2222249292 and 2222249301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17250 + ... + 68862.

Almost surely, 22222249328 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 2222249328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494474256).

2222249328 is an abundant number, since it is smaller than the sum of its proper divisors (4766699184).

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

2222249328 is a wasteful number, since it uses less digits than its factorization.

2222249328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51663 (or 51654 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2222249328 is about 47140.7395784156. The cubic root of 2222249328 is about 1304.9611861447.

The spelling of 2222249328 in words is "two billion, two hundred twenty-two million, two hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1656 1794 1872 2392 2691 3312 3588 4784 5382 7176 10764 14352 21528 43056 51613 103226 154839 206452 309678 412904 464517 619356 670969 825808 929034 1187099 1238712 1341938 1858068 2012907 2374198 2477424 2683876 3561297 3716136 4025814 4748396 5367752 6038721 7122594 7432272 8051628 9496792 10683891 10735504 12077442 14245188 15432287 16103256 18993584 21367782 24154884 28490376 30864574 32206512 42735564 46296861 48309768 56980752 61729148 85471128 92593722 96619536 123458296 138890583 170942256 185187444 246916592 277781166 370374888 555562332 740749776 1111124664 2222249328