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83223928040 = 2351131107127449
BaseRepresentation
bin100110110000010001…
…0000101110011101000
321221211000111120212012
41031200202011303220
52330420311144130
6102122121335052
76004236500501
oct1154042056350
9257730446765
1083223928040
1132327812a20
1214167637488
137b04030946
144056dd1ba8
152271546995
hex1360885ce8

83223928040 has 256 divisors, whose sum is σ = 214990848000. Its totient is φ = 28720742400.

The previous prime is 83223928013. The next prime is 83223928049. The reversal of 83223928040 is 4082932238.

It is not an unprimeable number, because it can be changed into a prime (83223928049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185353736 + ... + 185354184.

It is an arithmetic number, because the mean of its divisors is an integer number (839808000).

Almost surely, 283223928040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83223928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107495424000).

83223928040 is an abundant number, since it is smaller than the sum of its proper divisors (131766919960).

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

83223928040 is a wasteful number, since it uses less digits than its factorization.

83223928040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 83223928040 in words is "eighty-three billion, two hundred twenty-three million, nine hundred twenty-eight thousand, forty".