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230233032431200 = 25521087264757397
BaseRepresentation
bin110100010110010101001110…
…000111010001011001100000
31010012012001200212221212111201
4310112111032013101121200
5220134114222300244300
62133355332302250544
766331534113005131
oct6426251607213140
91105161625855451
10230233032431200
11673a530a710017
12219a4854886a54
139b60b60410376
1440bd4a4145c88
151b93d5226466a
hexd1654e1d1660

230233032431200 has 72 divisors (see below), whose sum is σ = 562573463743872. Its totient is φ = 92008490257920.

The previous prime is 230233032431189. The next prime is 230233032431309. The reversal of 230233032431200 is 2134230332032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131509099 + ... + 133248298.

It is an arithmetic number, because the mean of its divisors is an integer number (7813520329776).

Almost surely, 2230233032431200 is an apocalyptic number.

230233032431200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230233032431200 is an abundant number, since it is smaller than the sum of its proper divisors (332340431312672).

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

230233032431200 is a wasteful number, since it uses less digits than its factorization.

230233032431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264758504 (or 264758491 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 230233032431200 its reverse (2134230332032), we get a palindrome (232367262763232).

The spelling of 230233032431200 in words is "two hundred thirty trillion, two hundred thirty-three billion, thirty-two million, four hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1087 2174 4348 5435 8696 10870 17392 21740 27175 34784 43480 54350 86960 108700 173920 217400 434800 869600 264757397 529514794 1059029588 1323786985 2118059176 2647573970 4236118352 5295147940 6618934925 8472236704 10590295880 13237869850 21180591760 26475739700 42361183520 52951479400 105902958800 211805917600 287791290539 575582581078 1151165162156 1438956452695 2302330324312 2877912905390 4604660648624 5755825810780 7194782263475 9209321297248 11511651621560 14389564526950 23023303243120 28779129053900 46046606486240 57558258107800 115116516215600 230233032431200