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2201109340 = 2251719714799
BaseRepresentation
bin1000001100110010…
…0100001101011100
312200101202221101011
42003030210031130
514001440444330
61002225225004
7105355056253
oct20314441534
95611687334
102201109340
11a2a518031
12515192164
1329102c581
1416c48979a
15cd38a82a
hex8332435c

2201109340 has 96 divisors (see below), whose sum is σ = 5225472000. Its totient is φ = 773821440.

The previous prime is 2201109319. The next prime is 2201109343. The reversal of 2201109340 is 439011022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201109343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456261 + ... + 461059.

It is an arithmetic number, because the mean of its divisors is an integer number (54432000).

Almost surely, 22201109340 is an apocalyptic number.

2201109340 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 2201109340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736000).

2201109340 is an abundant number, since it is smaller than the sum of its proper divisors (3024362660).

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

2201109340 is a wasteful number, since it uses less digits than its factorization.

2201109340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2201109340 is about 46915.9817119923. The cubic root of 2201109340 is about 1300.8100158931.

The spelling of 2201109340 in words is "two billion, two hundred one million, one hundred nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 71 76 85 95 142 170 190 284 323 340 355 380 646 710 1207 1292 1349 1420 1615 2414 2698 3230 4799 4828 5396 6035 6460 6745 9598 12070 13490 19196 22933 23995 24140 26980 45866 47990 81583 91181 91732 95980 114665 163166 182362 229330 326332 340729 364724 407915 455905 458660 681458 815830 911810 1362916 1550077 1631660 1703645 1823620 3100154 3407290 5792393 6200308 6473851 6814580 7750385 11584786 12947702 15500770 23169572 25895404 28961965 31001540 32369255 57923930 64738510 110055467 115847860 129477020 220110934 440221868 550277335 1100554670 2201109340