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233233210033230 = 2351117103149218181
BaseRepresentation
bin110101000001111111010110…
…101000100100010001001110
31010120210212200102102021010210
4311001333112220210101032
5221032243103232030410
62144013505120343250
7100061354240602341
oct6501772650442116
91116725612367123
10233233210033230
1168351715760830
12221aa1aa174b26
13a01aa49984814
144184794870458
151be6de738b220
hexd41fd6a2444e

233233210033230 has 384 divisors, whose sum is σ = 657291776633856. Its totient is φ = 52342203801600.

The previous prime is 233233210033223. The next prime is 233233210033273. The reversal of 233233210033230 is 32330012332332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12828394740 + ... + 12828412920.

It is an arithmetic number, because the mean of its divisors is an integer number (1711697334984).

Almost surely, 2233233210033230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233233210033230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328645888316928).

233233210033230 is an abundant number, since it is smaller than the sum of its proper divisors (424058566600626).

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

233233210033230 is a wasteful number, since it uses less digits than its factorization.

233233210033230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18620 (or 18471 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 233233210033230 its reverse (32330012332332), we get a palindrome (265563222365562).

The spelling of 233233210033230 in words is "two hundred thirty-three trillion, two hundred thirty-three billion, two hundred ten million, thirty-three thousand, two hundred thirty".