282225160 has 128 divisors (see below), whose sum is σ = 774800640. Its totient is φ = 90316800.

The previous prime is 282225127. The next prime is 282225161. The reversal of 282225160 is 61522282.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (282225161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004220 + ... + 1004500.

It is an arithmetic number, because the mean of its divisors is an integer number (6053130).

Almost surely, 2^282225160 is an apocalyptic number.

282225160 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 282225160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387400320).

282225160 is an abundant number, since it is smaller than the sum of its proper divisors (492575480).

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

282225160 is a wasteful number, since it uses less digits than its factorization.

282225160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 282225160 is about 16799.5583275275. The cubic root of 282225160 is about 655.9417023843.

The spelling of 282225160 in words is "two hundred eighty-two million, two hundred twenty-five thousand, one hundred sixty".