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22820490000 = 2432547113789
BaseRepresentation
bin10101010000001101…
…010000101100010000
32011220101210000011100
4111100031100230100
5333214021140000
614252242144400
71435340651550
oct252015205420
964811700140
1022820490000
1197506319a0
12450a652100
1321c8b2a329
141166b21160
158d86a1a00
hex550350b10

22820490000 has 1200 divisors, whose sum is σ = 103336421760. Its totient is φ = 4561920000.

The previous prime is 22820489969. The next prime is 22820490001. The reversal of 22820490000 is 9402822.

It is a tau number, because it is divible by the number of its divisors (1200).

It is not an unprimeable number, because it can be changed into a prime (22820490001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 256409956 + ... + 256410044.

Almost surely, 222820490000 is an apocalyptic number.

22820490000 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 22820490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51668210880).

22820490000 is an abundant number, since it is smaller than the sum of its proper divisors (80515931760).

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

22820490000 is a wasteful number, since it uses less digits than its factorization.

22820490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

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

Adding to 22820490000 its reverse (9402822), we get a palindrome (22829892822).

The spelling of 22820490000 in words is "twenty-two billion, eight hundred twenty million, four hundred ninety thousand".