2229735832900 has 27 divisors (see below), whose sum is σ = 4838559160701. Its totient is φ = 891888360240.

The previous prime is 2229735832897. The next prime is 2229735832927. The reversal of 2229735832900 is 92385379222.

The square root of 2229735832900 is 1493230.

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., 802704899844 + 1427030933056 = 895938^2 + 1194584^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14857639 + ... + 15006961.

Almost surely, 2^{2229735832900} is an apocalyptic number.

2229735832900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2229735832900 is the 1493230-th square number.

It is an amenable number.

2229735832900 is an abundant number, since it is smaller than the sum of its proper divisors (2608823327801).

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

2229735832900 is an frugal number, since it uses more digits than its factorization.

2229735832900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298660 (or 149330 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 2229735832900 in words is "two trillion, two hundred twenty-nine billion, seven hundred thirty-five million, eight hundred thirty-two thousand, nine hundred".