229786009600 has 405 divisors, whose sum is σ = 669142082973. Its totient is φ = 78047477760.

The previous prime is 229786009597. The next prime is 229786009601. The reversal of 229786009600 is 6900687922.

The square root of 229786009600 is 479360.

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

It can be written as a sum of positive squares in only one way, i.e., 82722963456 + 147063046144 = 287616^2 + 383488^2 .

It is a super-2 number, since 2×229786009600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (229786009601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2147532747 + ... + 2147532853.

Almost surely, 2^229786009600 is an apocalyptic number.

229786009600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

229786009600 is the 479360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229786009600

229786009600 is an abundant number, since it is smaller than the sum of its proper divisors (439356073373).

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

229786009600 is an frugal number, since it uses more digits than its factorization.

229786009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 229786009600 by its sum of digits (49), we get a square (11259514470400 = 3355520²).

229786009600 divided by its sum of digits (49) gives a square (4689510400 = 68480²).

The spelling of 229786009600 in words is "two hundred twenty-nine billion, seven hundred eighty-six million, nine thousand, six hundred".