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22310000020 = 22571131557839
BaseRepresentation
bin10100110001110001…
…111001010110010100
32010120211012102120001
4110301301321112110
5331142330000040
614125444421044
71416601604560
oct246161712624
963524172501
1022310000020
119509460250
1243a76a7784
132147141659
141118dd86a0
158a896559a
hex531c79594

22310000020 has 192 divisors, whose sum is σ = 60476129280. Its totient is φ = 6709363200.

The previous prime is 22310000017. The next prime is 22310000021. The reversal of 22310000020 is 2000001322.

It is a super-3 number, since 3×223100000203 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22309999961 and 22310000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22310000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26590761 + ... + 26591599.

It is an arithmetic number, because the mean of its divisors is an integer number (314979840).

Almost surely, 222310000020 is an apocalyptic number.

22310000020 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 22310000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30238064640).

22310000020 is an abundant number, since it is smaller than the sum of its proper divisors (38166129260).

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

22310000020 is a wasteful number, since it uses less digits than its factorization.

22310000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 22310000020 its reverse (2000001322), we get a palindrome (24310001342).

The spelling of 22310000020 in words is "twenty-two billion, three hundred ten million, twenty", and thus it is an aban number.