229245747200 has 240 divisors, whose sum is σ = 594362539185. Its totient is φ = 87711416320.

The previous prime is 229245747197. The next prime is 229245747281. The reversal of 229245747200 is 2747542922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 224660832256 + 4584914944 = 473984^2 + 67712^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338560.

It is a super-2 number, since 2×229245747200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9967206389 + ... + 9967206411.

Almost surely, 2^229245747200 is an apocalyptic number.

229245747200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229245747200

229245747200 is an abundant number, since it is smaller than the sum of its proper divisors (365116791985).

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

229245747200 is an frugal number, since it uses more digits than its factorization.

229245747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 229245747200 in words is "two hundred twenty-nine billion, two hundred forty-five million, seven hundred forty-seven thousand, two hundred".