228388410000 has 675 divisors, whose sum is σ = 843680256991. Its totient is φ = 59871312000.

The previous prime is 228388409983. The next prime is 228388410011. The reversal of 228388410000 is 14883822.

It is a happy number.

The square root of 228388410000 is 477900.

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

It can be written as a sum of positive squares in 2 ways, for example, as 17905651344 + 210482758656 = 133812^2 + 458784^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×228388410000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3870989971 + ... + 3870990029.

Almost surely, 2^228388410000 is an apocalyptic number.

228388410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228388410000 is the 477900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228388410000

228388410000 is an abundant number, since it is smaller than the sum of its proper divisors (615291846991).

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

228388410000 is an frugal number, since it uses more digits than its factorization.

228388410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 228388410000 by its sum of digits (36), we get a square (8221982760000 = 2867400²).

228388410000 divided by its sum of digits (36) gives a square (6344122500 = 79650²).

The spelling of 228388410000 in words is "two hundred twenty-eight billion, three hundred eighty-eight million, four hundred ten thousand".