Search a number
-
+
1222310232330 = 2351144376110987
BaseRepresentation
bin10001110010010111010…
…111100000000100001010
311022211222220100100012120
4101302113113200010022
5130011242404413310
62333304354152110
7154210662356115
oct21622727400412
94284886310176
101222310232330
11431419295930
12178a85282636
138b3567ab005
144323558357c
1521bdd699b70
hex11c975e010a

1222310232330 has 128 divisors (see below), whose sum is σ = 3211961527296. Its totient is φ = 295233369600.

The previous prime is 1222310232293. The next prime is 1222310232337. The reversal of 1222310232330 is 332320132221.

It is a self number, because there is not a number n which added to its sum of digits gives 1222310232330.

It is not an unprimeable number, because it can be changed into a prime (1222310232337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111245097 + ... + 111256083.

It is an arithmetic number, because the mean of its divisors is an integer number (25093449432).

Almost surely, 21222310232330 is an apocalyptic number.

1222310232330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222310232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605980763648).

1222310232330 is an abundant number, since it is smaller than the sum of its proper divisors (1989651294966).

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

1222310232330 is a wasteful number, since it uses less digits than its factorization.

1222310232330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1222310232330 its reverse (332320132221), we get a palindrome (1554630364551).

The spelling of 1222310232330 in words is "one trillion, two hundred twenty-two billion, three hundred ten million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 443 761 886 1329 1522 2215 2283 2658 3805 4430 4566 4873 6645 7610 8371 9746 10987 11415 13290 14619 16742 21974 22830 24365 25113 29238 32961 41855 48730 50226 54935 65922 73095 83710 109870 120857 125565 146190 164805 241714 251130 329610 337123 362571 604285 674246 725142 1011369 1208570 1685615 1812855 2022738 3371230 3625710 3708353 4867241 5056845 7416706 8361107 9734482 10113690 11125059 14601723 16722214 18541765 22250118 24336205 25083321 29203446 37083530 41805535 48672410 50166642 53539651 55625295 73008615 83611070 91972177 107079302 111250590 125416605 146017230 160618953 183944354 250833210 267698255 275916531 321237906 459860885 535396510 551833062 803094765 919721770 1379582655 1606189530 2759165310 3703970401 7407940802 11111911203 18519852005 22223822406 37039704010 40743674411 55559556015 81487348822 111119112030 122231023233 203718372055 244462046466 407436744110 611155116165 1222310232330