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22201414013040 = 2435142673648377
BaseRepresentation
bin1010000110001001010110…
…11001010101000001110000
32220121102201201022100100120
411003010223121111001300
510402221443441404130
6115115104440250240
74450666510261653
oct503045331250160
986542651270316
1022201414013040
11708a626469a39
1225a6948770980
13c50779ab1082
1456a7a890b89a
1528779a4e9910
hex14312b655070

22201414013040 has 80 divisors (see below), whose sum is σ = 68824971982368. Its totient is φ = 5920326443008.

The previous prime is 22201414012961. The next prime is 22201414013041. The reversal of 22201414013040 is 4031041410222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22201414013040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201414013041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33917332 + ... + 34565708.

Almost surely, 222201414013040 is an apocalyptic number.

22201414013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201414013040 is an abundant number, since it is smaller than the sum of its proper divisors (46623557969328).

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

22201414013040 is a wasteful number, since it uses less digits than its factorization.

22201414013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791066 (or 791060 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22201414013040 its reverse (4031041410222), we get a palindrome (26232455423262).

The spelling of 22201414013040 in words is "twenty-two trillion, two hundred one billion, four hundred fourteen million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 142673 285346 428019 570692 648377 713365 856038 1141384 1296754 1426730 1712076 1945131 2140095 2282768 2593508 2853460 3241885 3424152 3890262 4280190 5187016 5706920 6483770 6848304 7780524 8560380 9725655 10374032 11413840 12967540 15561048 17120760 19451310 25935080 31122096 34241520 38902620 51870160 77805240 155610480 92505891721 185011783442 277517675163 370023566884 462529458605 555035350326 740047133768 925058917210 1110070700652 1387588375815 1480094267536 1850117834420 2220141401304 2775176751630 3700235668840 4440282802608 5550353503260 7400471337680 11100707006520 22201414013040