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230133032320 = 275359582863
BaseRepresentation
bin1101011001010011111…
…1110110010110000000
3211000000100220022220111
43112110333312112000
512232303024013240
6253415513321104
722424624333122
oct3262477662600
9730010808814
10230133032320
11896651083a4
1238727106194
1318917122009
14b1d2079212
155ebdaca1ea
hex3594ff6580

230133032320 has 32 divisors (see below), whose sum is σ = 550161781920. Its totient is φ = 92053212672.

The previous prime is 230133032309. The next prime is 230133032329. The reversal of 230133032320 is 23230331032.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2301330323202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230133032291 and 230133032300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230133032329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179790792 + ... + 179792071.

It is an arithmetic number, because the mean of its divisors is an integer number (17192555685).

Almost surely, 2230133032320 is an apocalyptic number.

230133032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230133032320 is an abundant number, since it is smaller than the sum of its proper divisors (320028749600).

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

230133032320 is an equidigital number, since it uses as much as digits as its factorization.

230133032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359582882 (or 359582870 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 230133032320 its reverse (23230331032), we get a palindrome (253363363352).

The spelling of 230133032320 in words is "two hundred thirty billion, one hundred thirty-three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 359582863 719165726 1438331452 1797914315 2876662904 3595828630 5753325808 7191657260 11506651616 14383314520 23013303232 28766629040 46026606464 57533258080 115066516160 230133032320