227772000 has 480 divisors, whose sum is σ = 903782880. Its totient is φ = 55987200.

The previous prime is 227771993. The next prime is 227772049. The reversal of 227772000 is 277722.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6155982 + ... + 6156018.

It is an arithmetic number, because the mean of its divisors is an integer number (1882881).

Almost surely, 2^227772000 is an apocalyptic number.

227772000 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 227772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451891440).

227772000 is an abundant number, since it is smaller than the sum of its proper divisors (676010880).

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

227772000 is a wasteful number, since it uses less digits than its factorization.

227772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 227772000 is about 15092.1171477033. The cubic root of 227772000 is about 610.7077693540.

The spelling of 227772000 in words is "two hundred twenty-seven million, seven hundred seventy-two thousand".