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230222333300 = 225222910053377
BaseRepresentation
bin1101011001101001010…
…0100000010101110100
3211000020120221021211012
43112122110200111310
512232443404131200
6253432423331352
722430060354621
oct3263224402564
9730216837735
10230222333300
1189700561563
1238750bb0b58
131892c78aa2b
14b1ddc83348
155ec6869a35
hex359a520574

230222333300 has 36 divisors (see below), whose sum is σ = 501764095980. Its totient is φ = 91686789120.

The previous prime is 230222333291. The next prime is 230222333303. The reversal of 230222333300 is 3333222032.

230222333300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 48742925284 + 181479408016 = 220778^2 + 426004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230222333303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5003789 + ... + 5049588.

It is an arithmetic number, because the mean of its divisors is an integer number (13937891555).

Almost surely, 2230222333300 is an apocalyptic number.

230222333300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230222333300 is an abundant number, since it is smaller than the sum of its proper divisors (271541762680).

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

230222333300 is a wasteful number, since it uses less digits than its factorization.

230222333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053620 (or 10053613 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 23.

Adding to 230222333300 its reverse (3333222032), we get a palindrome (233555555332).

The spelling of 230222333300 in words is "two hundred thirty billion, two hundred twenty-two million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900 10053377 20106754 40213508 50266885 100533770 201067540 251334425 502668850 1005337700 2302223333 4604446666 9208893332 11511116665 23022233330 46044466660 57555583325 115111166650 230222333300