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235083201444 = 2232721319273389
BaseRepresentation
bin1101101011110000001…
…1001111101110100100
3211110210100111222100200
43122330003033232210
512322422244421234
6255555024510500
722661403146100
oct3327403175644
9743710458320
10235083201444
119077537a763
1239688a7b430
1319225854480
14b541688900
1561ad48bd99
hex36bc0cfba4

235083201444 has 648 divisors, whose sum is σ = 798482837880. Its totient is φ = 57783269376.

The previous prime is 235083201413. The next prime is 235083201491. The reversal of 235083201444 is 444102380532.

235083201444 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 8 + 3 + 201 + 444 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1997017344 + 233086184100 = 44688^2 + 482790^2 .

It is a super-2 number, since 2×2350832014442 (a number of 24 digits) contains 22 as substring.

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 = 235083201399 and 235083201408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 604326802 + ... + 604327190.

Almost surely, 2235083201444 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 235083201444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399241418940).

235083201444 is an abundant number, since it is smaller than the sum of its proper divisors (563399636436).

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

235083201444 is a wasteful number, since it uses less digits than its factorization.

235083201444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 235083201444 its reverse (444102380532), we get a palindrome (679185581976).

The spelling of 235083201444 in words is "two hundred thirty-five billion, eighty-three million, two hundred one thousand, four hundred forty-four".