282201920 has 224 divisors, whose sum is σ = 903280896. Its totient is φ = 81100800.

The previous prime is 282201919. The next prime is 282201943. The reversal of 282201920 is 29102282.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 282201920.

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, 319880 + ... + 320760.

It is an arithmetic number, because the mean of its divisors is an integer number (4032504).

Almost surely, 2^282201920 is an apocalyptic number.

282201920 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 282201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451640448).

282201920 is an abundant number, since it is smaller than the sum of its proper divisors (621078976).

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

282201920 is a wasteful number, since it uses less digits than its factorization.

282201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 282201920 is about 16798.8666284366. The cubic root of 282201920 is about 655.9236972525.

It can be divided in two parts, 282 and 201920, that added together give a palindrome (202202).

The spelling of 282201920 in words is "two hundred eighty-two million, two hundred one thousand, nine hundred twenty".