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22648062240 = 2533510151907
BaseRepresentation
bin10101000101111011…
…100000000100100000
32011110101022202202000
4111011323200010200
5332340400442430
614223202324000
71431145231656
oct250573400440
964411282660
1022648062240
119672271411
124480959600
13219c1a7c7b
14114bc78dd6
158c8491e60
hex545ee0120

22648062240 has 192 divisors, whose sum is σ = 80054593920. Its totient is φ = 5979571200.

The previous prime is 22648062233. The next prime is 22648062253. The reversal of 22648062240 is 4226084622.

22648062240 is a `hidden beast` number, since 2 + 2 + 648 + 0 + 6 + 2 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22648062195 and 22648062204.

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 31 ways as a sum of consecutive naturals, for example, 410367 + ... + 462273.

It is an arithmetic number, because the mean of its divisors is an integer number (416951010).

Almost surely, 222648062240 is an apocalyptic number.

22648062240 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 22648062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40027296960).

22648062240 is an abundant number, since it is smaller than the sum of its proper divisors (57406531680).

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

22648062240 is a wasteful number, since it uses less digits than its factorization.

22648062240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52032 (or 52018 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 22648062240 in words is "twenty-two billion, six hundred forty-eight million, sixty-two thousand, two hundred forty".