Search a number
-
+
2230030021032 = 2332114759908393
BaseRepresentation
bin100000011100111000001…
…001011011000110101000
321220012002121220122221200
4200130320021123012220
5243014100141133112
64424243414404200
7320054136264552
oct40347011330650
97805077818850
102230030021032
1178a8288a0290
12300240660660
131323a222a058
1479d10d924d2
153d01ca0acdc
hex2073825b1a8

2230030021032 has 96 divisors (see below), whose sum is σ = 6728910814080. Its totient is φ = 661388647680.

The previous prime is 2230030021003. The next prime is 2230030021073. The reversal of 2230030021032 is 2301200300322.

It is a happy number.

2230030021032 is a `hidden beast` number, since 22 + 300 + 300 + 2 + 10 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2230030020996 and 2230030021014.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29916973 + ... + 29991420.

It is an arithmetic number, because the mean of its divisors is an integer number (70092820980).

Almost surely, 22230030021032 is an apocalyptic number.

2230030021032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2230030021032 is an abundant number, since it is smaller than the sum of its proper divisors (4498880793048).

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

2230030021032 is a wasteful number, since it uses less digits than its factorization.

2230030021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59908463 (or 59908456 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2230030021032 its reverse (2301200300322), we get a palindrome (4531230321354).

The spelling of 2230030021032 in words is "two trillion, two hundred thirty billion, thirty million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 66 72 88 94 99 132 141 188 198 264 282 376 396 423 517 564 792 846 1034 1128 1551 1692 2068 3102 3384 4136 4653 6204 9306 12408 18612 37224 59908393 119816786 179725179 239633572 359450358 479267144 539175537 658992323 718900716 1078351074 1317984646 1437801432 1976976969 2156702148 2635969292 2815694471 3953953938 4313404296 5271938584 5631388942 5930930907 7907907876 8447083413 11262777884 11861861814 15815815752 16894166826 22525555768 23723723628 25341250239 30972639181 33788333652 47447447256 50682500478 61945278362 67576667304 92917917543 101365000956 123890556724 185835835086 202730001912 247781113448 278753752629 371671670172 557507505258 743343340344 1115015010516 2230030021032