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22048848000 = 27355353107
BaseRepresentation
bin10100100010001101…
…101011100010000000
32002220121210112100000
4110202031223202000
5330124001114000
614043515200000
71410251054454
oct244215534200
962817715300
1022048848000
119394aaa933
124334146000
132104cc5c2a
1410d2458664
15890a7c000
hex52236b880

22048848000 has 768 divisors, whose sum is σ = 84446893440. Its totient is φ = 5714841600.

The previous prime is 22048847999. The next prime is 22048848023. The reversal of 22048848000 is 84884022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206063947 + ... + 206064053.

Almost surely, 222048848000 is an apocalyptic number.

22048848000 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 22048848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42223446720).

22048848000 is an abundant number, since it is smaller than the sum of its proper divisors (62398045440).

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

22048848000 is an equidigital number, since it uses as much as digits as its factorization.

22048848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 22048848000 in words is "twenty-two billion, forty-eight million, eight hundred forty-eight thousand".