229910660100 has 243 divisors, whose sum is σ = 792656368959. Its totient is φ = 55697558400.

The previous prime is 229910660059. The next prime is 229910660123. The reversal of 229910660100 is 1066019922.

The square root of 229910660100 is 479490.

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 50148227844 + 179762432256 = 223938^2 + 423984^2 .

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

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 80 ways as a sum of consecutive naturals, for example, 158230974 + ... + 158232426.

Almost surely, 2^229910660100 is an apocalyptic number.

229910660100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

229910660100 is the 479490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229910660100

229910660100 is an abundant number, since it is smaller than the sum of its proper divisors (562745708859).

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

229910660100 is a wasteful number, since it uses less digits than its factorization.

229910660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 229910660100 by its sum of digits (36), we get a square (8276783763600 = 2876940²).

229910660100 divided by its sum of digits (36) gives a square (6386407225 = 79915²).

The spelling of 229910660100 in words is "two hundred twenty-nine billion, nine hundred ten million, six hundred sixty thousand, one hundred".