Search a number
-
+
2342222421320 = 2351979167233599
BaseRepresentation
bin100010000101010111010…
…101011101110101001000
322021220200111201010010102
4202011113111131311020
5301333332414440240
64552000243104532
7331135312042565
oct42052725356510
98256614633112
102342222421320
1182337054a161
12319b31672148
1313cb419c7422
14815153d586c
1540dd731d815
hex2215755dd48

2342222421320 has 128 divisors (see below), whose sum is σ = 5651251200000. Its totient is φ = 871092548352.

The previous prime is 2342222421317. The next prime is 2342222421437. The reversal of 2342222421320 is 231242222432.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9909881 + ... + 10143479.

It is an arithmetic number, because the mean of its divisors is an integer number (44150400000).

Almost surely, 22342222421320 is an apocalyptic number.

2342222421320 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 2342222421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825625600000).

2342222421320 is an abundant number, since it is smaller than the sum of its proper divisors (3309028778680).

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

2342222421320 is a wasteful number, since it uses less digits than its factorization.

2342222421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233875 (or 233871 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2342222421320 its reverse (231242222432), we get a palindrome (2573464643752).

The spelling of 2342222421320 in words is "two trillion, three hundred forty-two billion, two hundred twenty-two million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 167 190 316 334 380 395 632 668 760 790 835 1336 1501 1580 1670 3002 3160 3173 3340 6004 6346 6680 7505 12008 12692 13193 15010 15865 25384 26386 30020 31730 52772 60040 63460 65965 105544 126920 131930 233599 250667 263860 467198 501334 527720 934396 1002668 1167995 1253335 1868792 2005336 2335990 2506670 4438381 4671980 5013340 8876762 9343960 10026680 17753524 18454321 22191905 35507048 36908642 39011033 44383810 73817284 78022066 88767620 92271605 147634568 156044132 177535240 184543210 195055165 312088264 350632099 369086420 390110330 701264198 738172840 741209627 780220660 1402528396 1482419254 1560441320 1753160495 2805056792 2964838508 3081871607 3506320990 3706048135 5929677016 6163743214 7012641980 7412096270 12327486428 14025283960 14824192540 15409358035 24654972856 29648385080 30818716070 58555560533 61637432140 117111121066 123274864280 234222242132 292777802665 468444484264 585555605330 1171111210660 2342222421320