Search a number
-
+
22300021020 = 22354373167709
BaseRepresentation
bin10100110001001011…
…110101000100011100
32010120010102102221110
4110301023311010130
5331132301133040
614124450502020
71416421023354
oct246113650434
963503372843
1022300021020
119503864942
1243a4294910
132145059514
14111795bb64
158a7b43980
hex5312f511c

22300021020 has 192 divisors, whose sum is σ = 65247114240. Its totient is φ = 5686474752.

The previous prime is 22300021001. The next prime is 22300021021. The reversal of 22300021020 is 2012000322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22300020987 and 22300021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300021021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31452426 + ... + 31453134.

It is an arithmetic number, because the mean of its divisors is an integer number (339828720).

Almost surely, 222300021020 is an apocalyptic number.

22300021020 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 22300021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32623557120).

22300021020 is an abundant number, since it is smaller than the sum of its proper divisors (42947093220).

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

22300021020 is a wasteful number, since it uses less digits than its factorization.

22300021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22300021020 its reverse (2012000322), we get a palindrome (24312021342).

The spelling of 22300021020 in words is "twenty-two billion, three hundred million, twenty-one thousand, twenty".