Search a number
-
+
230233220033200 = 24523919114686613
BaseRepresentation
bin110100010110010101011001…
…010010111010101010110000
31010012012002011221222001001221
4310112111121102322222300
5220134120113312030300
62133355403043234424
766331541551414546
oct6426253122725260
91105162157861057
10230233220033200
11673a53a65a519a
12219a48a7678a14
139b60b90246477
1440bd4c101bd96
151b93d6397031a
hexd165594baab0

230233220033200 has 60 divisors (see below), whose sum is σ = 553149462628368. Its totient is φ = 92090931884800.

The previous prime is 230233220033191. The next prime is 230233220033227. The reversal of 230233220033200 is 2330022332032.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8333094 + ... + 23019706.

Almost surely, 2230233220033200 is an apocalyptic number.

230233220033200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230233220033200 is an abundant number, since it is smaller than the sum of its proper divisors (322916242595168).

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

230233220033200 is a wasteful number, since it uses less digits than its factorization.

230233220033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14725822 (or 14725811 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 230233220033200 its reverse (2330022332032), we get a palindrome (232563242365232).

The spelling of 230233220033200 in words is "two hundred thirty trillion, two hundred thirty-three billion, two hundred twenty million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 39191 78382 156764 195955 313528 391910 627056 783820 979775 1567640 1959550 3135280 3919100 7838200 14686613 15676400 29373226 58746452 73433065 117492904 146866130 234985808 293732260 367165325 587464520 734330650 1174929040 1468661300 2937322600 5874645200 575583050083 1151166100166 2302332200332 2877915250415 4604664400664 5755830500830 9209328801328 11511661001660 14389576252075 23023322003320 28779152504150 46046644006640 57558305008300 115116610016600 230233220033200