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83221050 = 235211311627
BaseRepresentation
bin1001111010111…
…01101000111010
312210121001211010
410331131220322
5132301033200
612131414350
72030236653
oct475355072
9183531733
1083221050
1142a81230
1223a543b6
131431a533
14b0a452a
15748d150
hex4f5da3a

83221050 has 96 divisors (see below), whose sum is σ = 232556544. Its totient is φ = 19512000.

The previous prime is 83221037. The next prime is 83221051. The reversal of 83221050 is 5012238.

It is not an unprimeable number, because it can be changed into a prime (83221051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50337 + ... + 51963.

It is an arithmetic number, because the mean of its divisors is an integer number (2422464).

Almost surely, 283221050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83221050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116278272).

83221050 is an abundant number, since it is smaller than the sum of its proper divisors (149335494).

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

83221050 is a wasteful number, since it uses less digits than its factorization.

83221050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 83221050 is about 9122.5572072747. The cubic root of 83221050 is about 436.5939671395.

Adding to 83221050 its reverse (5012238), we get a palindrome (88233288).

The spelling of 83221050 in words is "eighty-three million, two hundred twenty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 150 155 165 186 275 310 330 341 465 550 682 775 825 930 1023 1550 1627 1650 1705 2046 2325 3254 3410 4650 4881 5115 8135 8525 9762 10230 16270 17050 17897 24405 25575 35794 40675 48810 50437 51150 53691 81350 89485 100874 107382 122025 151311 178970 244050 252185 268455 302622 447425 504370 536910 554807 756555 894850 1109614 1260925 1342275 1513110 1664421 2521850 2684550 2774035 3328842 3782775 5548070 7565550 8322105 13870175 16644210 27740350 41610525 83221050