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230422303224032 = 2547311514918183
BaseRepresentation
bin110100011001000101011111…
…100010000011000011100000
31010012212011020111100100200212
4310121011133202003003200
5220200214334111132112
62134022313400233252
766351314323131563
oct6431053742030340
91105764214310625
10230422303224032
1167468606089057
1221a1547716b828
139b7596494783a
1440c86db2c64da
151b98c2d7d9522
hexd1915f8830e0

230422303224032 has 48 divisors (see below), whose sum is σ = 463310874335232. Its totient is φ = 112756207804800.

The previous prime is 230422303224007. The next prime is 230422303224131.

230422303224032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 230422303224032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44392013 + ... + 49310195.

It is an arithmetic number, because the mean of its divisors is an integer number (9652309881984).

Almost surely, 2230422303224032 is an apocalyptic number.

It is an amenable number.

230422303224032 is an abundant number, since it is smaller than the sum of its proper divisors (232888571111200).

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

230422303224032 is a wasteful number, since it uses less digits than its factorization.

230422303224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949391 (or 4949383 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 23042230 and 3224032, that added together give a palindrome (26266262).

The spelling of 230422303224032 in words is "two hundred thirty trillion, four hundred twenty-two billion, three hundred three million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 31151 62302 124604 249208 498416 996832 1464097 2928194 4918183 5856388 9836366 11712776 19672732 23425552 39345464 46851104 78690928 157381856 231154601 462309202 924618404 1849236808 3698473616 7396947232 153206318633 306412637266 612825274532 1225650549064 2451301098128 4902602196256 7200696975751 14401393951502 28802787903004 57605575806008 115211151612016 230422303224032