229259016100 has 27 divisors (see below), whose sum is σ = 497502455331. Its totient is φ = 91701691200.

The previous prime is 229259016097. The next prime is 229259016101. The reversal of 229259016100 is 1610952922.

The square root of 229259016100 is 478810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22990443876 + 206268572224 = 151626^2 + 454168^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 229259016100.

It is not an unprimeable number, because it can be changed into a prime (229259016101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4764160 + ... + 4812040.

Almost surely, 2^229259016100 is an apocalyptic number.

229259016100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

229259016100 is the 478810-th square number.

It is an amenable number.

229259016100 is an abundant number, since it is smaller than the sum of its proper divisors (268243439231).

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

229259016100 is an frugal number, since it uses more digits than its factorization.

229259016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95776 (or 47888 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 229259016100 in words is "two hundred twenty-nine billion, two hundred fifty-nine million, sixteen thousand, one hundred".