Search a number
-
+
2226269848704 = 273112322915327
BaseRepresentation
bin100000011001011000000…
…001100000010010000000
321212211101120111010012220
4200121120001200102000
5242433400040124304
64422422333051040
7316562020325166
oct40313001402200
97784346433186
102226269848704
11789179322150
122bb571326a80
13131c231c8c05
1479a7582b236
153cd9c85aad9
hex20658060480

2226269848704 has 128 divisors (see below), whose sum is σ = 6731606753280. Its totient is φ = 645295580160.

The previous prime is 2226269848687. The next prime is 2226269848721. The reversal of 2226269848704 is 4078489626222.

It is an interprime number because it is at equal distance from previous prime (2226269848687) and next prime (2226269848721).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11360512 + ... + 11554815.

It is an arithmetic number, because the mean of its divisors is an integer number (52590677760).

Almost surely, 22226269848704 is an apocalyptic number.

2226269848704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2226269848704 is an abundant number, since it is smaller than the sum of its proper divisors (4505336904576).

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

2226269848704 is a wasteful number, since it uses less digits than its factorization.

2226269848704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22915378 (or 22915366 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 2226269848704 in words is "two trillion, two hundred twenty-six billion, two hundred sixty-nine million, eight hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 704 736 759 1012 1056 1104 1408 1472 1518 2024 2112 2208 2944 3036 4048 4224 4416 6072 8096 8832 12144 16192 24288 32384 48576 97152 22915327 45830654 68745981 91661308 137491962 183322616 252068597 274983924 366645232 504137194 527052521 549967848 733290464 756205791 1008274388 1054105042 1099935696 1466580928 1512411582 1581157563 2016548776 2108210084 2199871392 2933161856 3024823164 3162315126 4033097552 4216420168 4399742784 5797577731 6049646328 6324630252 8066195104 8432840336 8799485568 11595155462 12099292656 12649260504 16132390208 16865680672 17392733193 23190310924 24198585312 25298521008 32264780416 33731361344 34785466386 46380621848 48397170624 50597042016 67462722688 69570932772 92761243696 96794341248 101194084032 139141865544 185522487392 202388168064 278283731088 371044974784 556567462176 742089949568 1113134924352 2226269848704