230029776 has 120 divisors (see below), whose sum is σ = 661564800. Its totient is φ = 74592000.

The previous prime is 230029763. The next prime is 230029781. The reversal of 230029776 is 677920032.

It is a super-2 number, since 2×230029776² = 105827395693220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 230029776.

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 23 ways as a sum of consecutive naturals, for example, 1523301 + ... + 1523451.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2^230029776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230029776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330782400).

230029776 is an abundant number, since it is smaller than the sum of its proper divisors (431535024).

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

230029776 is a wasteful number, since it uses less digits than its factorization.

230029776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 230029776 is about 15166.7325419815. The cubic root of 230029776 is about 612.7190062861.

The spelling of 230029776 in words is "two hundred thirty million, twenty-nine thousand, seven hundred seventy-six".