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2201032340440 = 2352331109770351
BaseRepresentation
bin100000000001110111110…
…000000011001111011000
321210102020201122212022121
4200001313300003033120
5242030203234343230
64403050145431024
7315006430126663
oct40016760031730
97712221585277
102201032340440
117794a84146aa
122b66a933b474
1312c730704a7b
147875dada6da
153c3c1dc077a
hex20077c033d8

2201032340440 has 128 divisors (see below), whose sum is σ = 5339277803520. Its totient is φ = 814214016000.

The previous prime is 2201032340431. The next prime is 2201032340443. The reversal of 2201032340440 is 440432301022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201032340443) 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 31 ways as a sum of consecutive naturals, for example, 31251265 + ... + 31321615.

It is an arithmetic number, because the mean of its divisors is an integer number (41713107840).

Almost surely, 22201032340440 is an apocalyptic number.

2201032340440 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 2201032340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669638901760).

2201032340440 is an abundant number, since it is smaller than the sum of its proper divisors (3138245463080).

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

2201032340440 is a wasteful number, since it uses less digits than its factorization.

2201032340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71513 (or 71509 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2201032340440 its reverse (440432301022), we get a palindrome (2641464641462).

The spelling of 2201032340440 in words is "two trillion, two hundred one billion, thirty-two million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 620 713 920 1097 1240 1426 2194 2852 3565 4388 5485 5704 7130 8776 10970 14260 21940 25231 28520 34007 43880 50462 68014 70351 100924 126155 136028 140702 170035 201848 252310 272056 281404 340070 351755 504620 562808 680140 703510 782161 1009240 1360280 1407020 1564322 1618073 2180881 2814040 3128644 3236146 3910805 4361762 6257288 6472292 7821610 8090365 8723524 10904405 12944584 15643220 16180730 17447048 21808810 31286440 32361460 43617620 50160263 64722920 77175047 87235240 100320526 154350094 200641052 250801315 308700188 385875235 401282104 501602630 617400376 771750470 1003205260 1543500940 1775026081 2006410520 2392426457 3087001880 3550052162 4784852914 7100104324 8875130405 9569705828 11962132285 14200208648 17750260810 19139411656 23924264570 35500521620 47848529140 55025808511 71001043240 95697058280 110051617022 220103234044 275129042555 440206468088 550258085110 1100516170220 2201032340440