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2322089301940 = 225199358256129
BaseRepresentation
bin100001110010100111010…
…011101101011110110100
322012222201101200200102021
4201302213103231132310
5301021114330130230
64534430400322524
7326523352253542
oct41624723553664
98188641620367
102322089301940
11815879968621
12316053013444
1313ac83881235
148056557ad92
1540609a59c7a
hex21ca74ed7b4

2322089301940 has 24 divisors (see below), whose sum is σ = 4878834375240. Its totient is φ = 928369655808.

The previous prime is 2322089301919. The next prime is 2322089301943. The reversal of 2322089301940 is 491039802232.

It can be written as a sum of positive squares in 4 ways, for example, as 9433071376 + 2312656230564 = 97124^2 + 1520742^2 .

It is a super-3 number, since 3×23220893019403 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322089301943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29088205 + ... + 29167924.

It is an arithmetic number, because the mean of its divisors is an integer number (203284765635).

Almost surely, 22322089301940 is an apocalyptic number.

2322089301940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2322089301940 is an abundant number, since it is smaller than the sum of its proper divisors (2556745073300).

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

2322089301940 is a wasteful number, since it uses less digits than its factorization.

2322089301940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58258131 (or 58258129 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 2322089301940 in words is "two trillion, three hundred twenty-two billion, eighty-nine million, three hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 1993 3986 7972 9965 19930 39860 58256129 116512258 233024516 291280645 582561290 1165122580 116104465097 232208930194 464417860388 580522325485 1161044650970 2322089301940