227820600 has 480 divisors, whose sum is σ = 945252000. Its totient is φ = 50803200.

The previous prime is 227820547. The next prime is 227820613. The reversal of 227820600 is 6028722.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5556580 + ... + 5556620.

It is an arithmetic number, because the mean of its divisors is an integer number (1969275).

Almost surely, 2^227820600 is an apocalyptic number.

227820600 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 227820600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472626000).

227820600 is an abundant number, since it is smaller than the sum of its proper divisors (717431400).

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

227820600 is a wasteful number, since it uses less digits than its factorization.

227820600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 227820600 is about 15093.7271738958. The cubic root of 227820600 is about 610.7512020950.

The spelling of 227820600 in words is "two hundred twenty-seven million, eight hundred twenty thousand, six hundred".