227122800 has 120 divisors (see below), whose sum is σ = 743214336. Its totient is φ = 59262720.

The previous prime is 227122781. The next prime is 227122813. The reversal of 227122800 is 8221722.

It is a happy number.

227122800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54387 + ... + 58413.

Almost surely, 2^227122800 is an apocalyptic number.

227122800 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 227122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371607168).

227122800 is an abundant number, since it is smaller than the sum of its proper divisors (516091536).

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

227122800 is a wasteful number, since it uses less digits than its factorization.

227122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 227122800 is about 15070.5938834540. The cubic root of 227122800 is about 610.1270003420.

The spelling of 227122800 in words is "two hundred twenty-seven million, one hundred twenty-two thousand, eight hundred".