Search a number
-
+
233152300530320 = 2452914403756629
BaseRepresentation
bin110101000000110100000000…
…000011010011101010010000
31010120112010211200220122200212
4311000310000003103222100
5221024431402413432240
62143512404353103252
7100052461233302633
oct6500640003235220
91116463750818625
10233152300530320
1168320376421756
1222196589857b28
13a0132242a9b02
1441808badc3c1a
151be4c5e115165
hexd40d000d3a90

233152300530320 has 20 divisors (see below), whose sum is σ = 542079098733180. Its totient is φ = 93260920212096.

The previous prime is 233152300530283. The next prime is 233152300530329. The reversal of 233152300530320 is 23035003251332.

It can be written as a sum of positive squares in 2 ways, for example, as 179382520677376 + 53769779852944 = 13393376^2 + 7332788^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (233152300530329) 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, 1457201878235 + ... + 1457201878394.

It is an arithmetic number, because the mean of its divisors is an integer number (27103954936659).

Almost surely, 2233152300530320 is an apocalyptic number.

233152300530320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233152300530320 is an abundant number, since it is smaller than the sum of its proper divisors (308926798202860).

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

233152300530320 is a wasteful number, since it uses less digits than its factorization.

233152300530320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914403756642 (or 2914403756636 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 32.

Adding to 233152300530320 its reverse (23035003251332), we get a palindrome (256187303781652).

The spelling of 233152300530320 in words is "two hundred thirty-three trillion, one hundred fifty-two billion, three hundred million, five hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2914403756629 5828807513258 11657615026516 14572018783145 23315230053032 29144037566290 46630460106064 58288075132580 116576150265160 233152300530320