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2242430133400 = 2352191277462109
BaseRepresentation
bin100000101000011011010…
…000000110010010011000
321221101002210220122021201
4200220123100012102120
5243214444103232100
64434054100043544
7321003336431632
oct40503320062230
97841083818251
102242430133400
11795011394236
123027213935b4
131335ca242352
147a769ba3a52
153d4e646336a
hex20a1b406498

2242430133400 has 96 divisors (see below), whose sum is σ = 5492362194000. Its totient is φ = 849095723520.

The previous prime is 2242430133389. The next prime is 2242430133403. The reversal of 2242430133400 is 43310342422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242430133403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4621546 + ... + 5083654.

Almost surely, 22242430133400 is an apocalyptic number.

2242430133400 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 2242430133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746181097000).

2242430133400 is an abundant number, since it is smaller than the sum of its proper divisors (3249932060600).

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

2242430133400 is a wasteful number, since it uses less digits than its factorization.

2242430133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463421 (or 463412 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2242430133400 its reverse (43310342422), we get a palindrome (2285740475822).

The spelling of 2242430133400 in words is "two trillion, two hundred forty-two billion, four hundred thirty million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1277 1900 2554 3800 5108 6385 10216 12770 24263 25540 31925 48526 51080 63850 97052 121315 127700 194104 242630 255400 462109 485260 606575 924218 970520 1213150 1848436 2310545 2426300 3696872 4621090 4852600 8780071 9242180 11552725 17560142 18484360 23105450 35120284 43900355 46210900 70240568 87800710 92421800 175601420 219501775 351202840 439003550 590113193 878007100 1180226386 1756014200 2360452772 2950565965 4720905544 5901131930 11212150667 11802263860 14752829825 22424301334 23604527720 29505659650 44848602668 56060753335 59011319300 89697205336 112121506670 118022638600 224243013340 280303766675 448486026680 560607533350 1121215066700 2242430133400