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230332212000 = 2532531141923
BaseRepresentation
bin1101011010000011011…
…1101010001100100000
3211000112020200201001200
43112200313222030200
512233210021241000
6253451350401200
722432563332652
oct3264067521440
9730466621050
10230332212000
1189757590000
1238781960200
131894947cb07
14b2106c66d2
155ed1321500
hex35a0dea320

230332212000 has 1440 divisors, whose sum is σ = 987666825600. Its totient is φ = 50599296000.

The previous prime is 230332211933. The next prime is 230332212017. The reversal of 230332212000 is 212233032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 10014443989 + ... + 10014444011.

It is an arithmetic number, because the mean of its divisors is an integer number (685879740).

Almost surely, 2230332212000 is an apocalyptic number.

230332212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230332212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493833412800).

230332212000 is an abundant number, since it is smaller than the sum of its proper divisors (757334613600).

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

230332212000 is a wasteful number, since it uses less digits than its factorization.

230332212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230332212000 its reverse (212233032), we get a palindrome (230544445032).

The spelling of 230332212000 in words is "two hundred thirty billion, three hundred thirty-two million, two hundred twelve thousand".