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83202233220238 = 21126267143979887
BaseRepresentation
bin10010111010110000000111…
…100011100011110010001110
3101220121001111200121022211011
4102322300013203203302032
541401141133201021423
6452542324523515434
723345106621310546
oct2272600743436216
9356531450538734
1083202233220238
1124568961636480
1293b9197688b7a
133756c24574582
14167901c3b6326
159944336d1b0d
hex4bac078e3c8e

83202233220238 has 16 divisors (see below), whose sum is σ = 136154293127424. Its totient is φ = 37817756856760.

The previous prime is 83202233220233. The next prime is 83202233220307.

It is a happy number.

83202233220238 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×832022332202382 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83202233220238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83202233220233) 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, 71412070 + ... + 72567817.

It is an arithmetic number, because the mean of its divisors is an integer number (8509643320464).

Almost surely, 283202233220238 is an apocalyptic number.

83202233220238 is a deficient number, since it is larger than the sum of its proper divisors (52952059907186).

83202233220238 is a wasteful number, since it uses less digits than its factorization.

83202233220238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144006167.

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 83202233220238 in words is "eighty-three trillion, two hundred two billion, two hundred thirty-three million, two hundred twenty thousand, two hundred thirty-eight".

Divisors: 1 2 11 22 26267 52534 288937 577874 143979887 287959774 1583778757 3167557514 3781919691829 7563839383658 41601116610119 83202233220238