Search a number
-
+
20282681232 = 243611172547
BaseRepresentation
bin10010111000111100…
…010010011110010000
31221100112102222000000
4102320330102132100
5313014331244412
613152344130000
71315423642302
oct227074223620
957315388000
1020282681232
118669054680
123b20766900
131bb3120838
14da5a6b972
157da9a84dc
hex4b8f12790

20282681232 has 420 divisors, whose sum is σ = 68404084656. Its totient is φ = 5774146560.

The previous prime is 20282681213. The next prime is 20282681233. The reversal of 20282681232 is 23218628202.

It is a super-2 number, since 2×202826812322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20282681233) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 37079583 + ... + 37080129.

Almost surely, 220282681232 is an apocalyptic number.

20282681232 is a gapful number since it is divisible by the number (22) 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 20282681232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34202042328).

20282681232 is an abundant number, since it is smaller than the sum of its proper divisors (48121403424).

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

20282681232 is a wasteful number, since it uses less digits than its factorization.

20282681232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20282681232 in words is "twenty billion, two hundred eighty-two million, six hundred eighty-one thousand, two hundred thirty-two".