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83214022430 = 25711173624683
BaseRepresentation
bin100110101111111110…
…0010011011100011110
321221210022212022220202
41031133330103130132
52330410242204210
6102121125143502
76004056343250
oct1153774233436
9257708768822
1083214022430
1132322167770
121416425ab92
137b01c73036
144055973cd0
15227073b9a5
hex135ff1371e

83214022430 has 64 divisors (see below), whose sum is σ = 187824987648. Its totient is φ = 25786872960.

The previous prime is 83214022417. The next prime is 83214022439. The reversal of 83214022430 is 3422041238.

It is a junction number, because it is equal to n+sod(n) for n = 83214022393 and 83214022402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83214022439) 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 31 ways as a sum of consecutive naturals, for example, 179132 + ... + 445551.

It is an arithmetic number, because the mean of its divisors is an integer number (2934765432).

Almost surely, 283214022430 is an apocalyptic number.

83214022430 is an abundant number, since it is smaller than the sum of its proper divisors (104610965218).

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

83214022430 is a wasteful number, since it uses less digits than its factorization.

83214022430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624881.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 83214022430 its reverse (3422041238), we get a palindrome (86636063668).

The spelling of 83214022430 in words is "eighty-three billion, two hundred fourteen million, twenty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 173 346 385 770 865 1211 1730 1903 2422 3806 6055 9515 12110 13321 19030 26642 66605 133210 624683 1249366 3123415 4372781 6246830 6871513 8745562 13743026 21863905 34357565 43727810 48100591 68715130 96201182 108070159 216140318 240502955 481005910 540350795 756491113 1080701590 1188771749 1512982226 2377543498 3782455565 5943858745 7564911130 8321402243 11887717490 16642804486 41607011215 83214022430