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22033032320 = 2751319373767
BaseRepresentation
bin10100100001010001…
…010110010010000000
32002212112001000022002
4110201101112102000
5330110424013240
614042152203132
71406666453555
oct244121262200
962775030262
1022033032320
119387088322
12432a9994a8
132101949240
1410d02dca2c
1588e4a5d15
hex521456480

22033032320 has 256 divisors, whose sum is σ = 61340025600. Its totient is φ = 7496810496.

The previous prime is 22033032313. The next prime is 22033032337. The reversal of 22033032320 is 2323033022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22033032292 and 22033032301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5847077 + ... + 5850843.

It is an arithmetic number, because the mean of its divisors is an integer number (239609475).

Almost surely, 222033032320 is an apocalyptic number.

22033032320 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 22033032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30670012800).

22033032320 is an abundant number, since it is smaller than the sum of its proper divisors (39306993280).

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

22033032320 is a wasteful number, since it uses less digits than its factorization.

22033032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 22033032320 its reverse (2323033022), we get a palindrome (24356065342).

The spelling of 22033032320 in words is "twenty-two billion, thirty-three million, thirty-two thousand, three hundred twenty".