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83210022 = 23274714051
BaseRepresentation
bin1001111010110…
…10111100100110
312210120111200200
410331122330212
5132300210042
612131251330
72030162550
oct475327446
9183514620
1083210022
1142a73a15
1223a49b46
13143154cc
14b0a04d0
157489c4c
hex4f5af26

83210022 has 48 divisors (see below), whose sum is σ = 210442752. Its totient is φ = 23266800.

The previous prime is 83209993. The next prime is 83210041. The reversal of 83210022 is 22001238.

It is a happy number.

It is a super-2 number, since 2×832100222 = 13847815522480968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 83209977 and 83210004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104 + ... + 12947.

It is an arithmetic number, because the mean of its divisors is an integer number (4384224).

Almost surely, 283210022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105221376).

83210022 is an abundant number, since it is smaller than the sum of its proper divisors (127232730).

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

83210022 is a wasteful number, since it uses less digits than its factorization.

83210022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14113 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 83210022 is about 9121.9527514672. The cubic root of 83210022 is about 436.5746812698.

The spelling of 83210022 in words is "eighty-three million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5922 14051 28102 42153 84306 98357 126459 196714 252918 295071 590142 660397 885213 1320794 1770426 1981191 3962382 4622779 5943573 9245558 11887146 13868337 27736674 41605011 83210022