229770211370400 has 108 divisors (see below), whose sum is σ = 810227207870262. Its totient is φ = 61272056363520.

The previous prime is 229770211370389. The next prime is 229770211370489. The reversal of 229770211370400 is 4073112077922.

229770211370400 is a `hidden beast` number, since 2 + 2 + 97 + 7 + 0 + 21 + 137 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 115472131673616 + 114298079696784 = 10745796^2 + 10691028^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15956257479 + ... + 15956271878.

Almost surely, 2^{229770211370400} is an apocalyptic number.

229770211370400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229770211370400 is an abundant number, since it is smaller than the sum of its proper divisors (580456996499862).

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

229770211370400 is a wasteful number, since it uses less digits than its factorization.

229770211370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31912529383 (or 31912529367 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 229770211370400 in words is "two hundred twenty-nine trillion, seven hundred seventy billion, two hundred eleven million, three hundred seventy thousand, four hundred".