230109935522208 has 384 divisors, whose sum is σ = 705489813504000. Its totient is φ = 64317561864192.

The previous prime is 230109935522191. The next prime is 230109935522219. The reversal of 230109935522208 is 802225539901032.

It is a super-2 number, since 2×230109935522208² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28788928260 + ... + 28788936252.

It is an arithmetic number, because the mean of its divisors is an integer number (1837213056000).

Almost surely, 2^{230109935522208} is an apocalyptic number.

230109935522208 is a gapful number since it is divisible by the number (28) 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 230109935522208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352744906752000).

230109935522208 is an abundant number, since it is smaller than the sum of its proper divisors (475379877981792).

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

230109935522208 is a wasteful number, since it uses less digits than its factorization.

230109935522208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13004 (or 12996 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 230109935522208 in words is "two hundred thirty trillion, one hundred nine billion, nine hundred thirty-five million, five hundred twenty-two thousand, two hundred eight".