550000224400 has 135 divisors (see below), whose sum is σ = 1452852032569. Its totient is φ = 199940752000.

The previous prime is 550000224383. The next prime is 550000224439. The reversal of 550000224400 is 4422000055.

The square root of 550000224400 is 741620.

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., 198000080784 + 352000143616 = 444972^2 + 593296^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 163154715 + ... + 163158085.

Almost surely, 2^550000224400 is an apocalyptic number.

550000224400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

550000224400 is the 741620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550000224400

550000224400 is an abundant number, since it is smaller than the sum of its proper divisors (902851808169).

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

550000224400 is an equidigital number, since it uses as much as digits as its factorization.

550000224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

Multiplying 550000224400 by its product of nonzero digits (1600), we get a square (880000359040000 = 29664800²).

Adding to 550000224400 its reverse (4422000055), we get a palindrome (554422224455).

It can be divided in two parts, 550000 and 224400, that added together give a square (774400 = 880²).

The spelling of 550000224400 in words is "five hundred fifty billion, two hundred twenty-four thousand, four hundred".