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230233011140 = 2251110985911177
BaseRepresentation
bin1101011001101011110…
…1001111001111000100
3211000021100000210001202
43112122331033033010
512233004122324030
6253433444242032
722430250206426
oct3263275171704
9730240023052
10230233011140
1189706594a20
12387546a0318
1318931a58c92
14b201462816
155ec7778745
hex359af4f3c4

230233011140 has 96 divisors (see below), whose sum is σ = 532949155200. Its totient is φ = 82849029120.

The previous prime is 230233011037. The next prime is 230233011161. The reversal of 230233011140 is 41110332032.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 20593232 + ... + 20604408.

It is an arithmetic number, because the mean of its divisors is an integer number (5551553700).

Almost surely, 2230233011140 is an apocalyptic number.

230233011140 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 230233011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266474577600).

230233011140 is an abundant number, since it is smaller than the sum of its proper divisors (302716144060).

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

230233011140 is a wasteful number, since it uses less digits than its factorization.

230233011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12165 (or 12163 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 230233011140 its reverse (41110332032), we get a palindrome (271343343172).

The spelling of 230233011140 in words is "two hundred thirty billion, two hundred thirty-three million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 436 545 859 1090 1199 1718 2180 2398 3436 4295 4796 5995 8590 9449 11177 11990 17180 18898 22354 23980 37796 44708 47245 55885 93631 94490 111770 122947 187262 188980 223540 245894 374524 468155 491788 614735 936310 1029941 1218293 1229470 1872620 2059882 2436586 2458940 4119764 4873172 5149705 6091465 9601043 10299410 12182930 13401223 19202086 20598820 24365860 26802446 38404172 48005215 53604892 67006115 96010430 105611473 134012230 192020860 211222946 268024460 422445892 528057365 1046513687 1056114730 2093027374 2112229460 4186054748 5232568435 10465136870 11511650557 20930273740 23023301114 46046602228 57558252785 115116505570 230233011140