20281833000 has 1280 divisors, whose sum is σ = 89046397440. Its totient is φ = 4230144000.

The previous prime is 20281832993. The next prime is 20281833001. The reversal of 20281833000 is 33818202.

20281833000 is a `hidden beast` number, since 2 + 0 + 281 + 83 + 300 + 0 = 666.

It is a super-2 number, since 2×20281833000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20281833001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 196910949 + ... + 196911051.

It is an arithmetic number, because the mean of its divisors is an integer number (69567498).

Almost surely, 2^20281833000 is an apocalyptic number.

20281833000 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 20281833000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44523198720).

20281833000 is an abundant number, since it is smaller than the sum of its proper divisors (68764564440).

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

20281833000 is a wasteful number, since it uses less digits than its factorization.

20281833000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20281833000 in words is "twenty billion, two hundred eighty-one million, eight hundred thirty-three thousand".