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2242459640220 = 2235271373369739
BaseRepresentation
bin100000101000011101000…
…000101010000110011100
321221101011212102202000220
4200220131000222012130
5243220024131441340
64434101032321340
7321004145304432
oct40503500520634
97841155382026
102242459640220
11795027008138
1230272b243250
131336033a39c7
147a76da84d52
153d4e8d40ed0
hex20a1d02a19c

2242459640220 has 96 divisors (see below), whose sum is σ = 6318969000960. Its totient is φ = 594183755520.

The previous prime is 2242459640209. The next prime is 2242459640227. The reversal of 2242459640220 is 220469542422.

It is a super-2 number, since 2×22424596402202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242459640227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5880111 + ... + 6249849.

It is an arithmetic number, because the mean of its divisors is an integer number (65822593760).

Almost surely, 22242459640220 is an apocalyptic number.

2242459640220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242459640220 is an abundant number, since it is smaller than the sum of its proper divisors (4076509360740).

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

2242459640220 is a wasteful number, since it uses less digits than its factorization.

2242459640220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370395 (or 370393 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 2242459640220 in words is "two trillion, two hundred forty-two billion, four hundred fifty-nine million, six hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 271 373 542 746 813 1084 1119 1355 1492 1626 1865 2238 2710 3252 3730 4065 4476 5420 5595 7460 8130 11190 16260 22380 101083 202166 303249 369739 404332 505415 606498 739478 1010830 1109217 1212996 1478956 1516245 1848695 2021660 2218434 3032490 3697390 4436868 5546085 6064980 7394780 11092170 22184340 100199269 137912647 200398538 275825294 300597807 400797076 413737941 500996345 551650588 601195614 689563235 827475882 1001992690 1202391228 1379126470 1502989035 1654951764 2003985380 2068689705 2758252940 3005978070 4137379410 6011956140 8274758820 37374327337 74748654674 112122982011 149497309348 186871636685 224245964022 373743273370 448491928044 560614910055 747486546740 1121229820110 2242459640220