283221120 has 256 divisors, whose sum is σ = 1111783680. Its totient is φ = 59719680.

The previous prime is 283221101. The next prime is 283221151. The reversal of 283221120 is 21122382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173910 + ... + 175530.

It is an arithmetic number, because the mean of its divisors is an integer number (4342905).

Almost surely, 2^283221120 is an apocalyptic number.

283221120 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 283221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555891840).

283221120 is an abundant number, since it is smaller than the sum of its proper divisors (828562560).

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

283221120 is a wasteful number, since it uses less digits than its factorization.

283221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 283221120 is about 16829.1746678202. The cubic root of 283221120 is about 656.7123928523.

The spelling of 283221120 in words is "two hundred eighty-three million, two hundred twenty-one thousand, one hundred twenty".