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83445228 = 22352932
BaseRepresentation
bin1001111100101…
…00010111101100
312211000110100000
410332110113230
5132330221403
612140304300
72032162356
oct476242754
9184013300
1083445228
11431146a9
1223b42090
1314398599
14b1220d6
1574d47a3
hex4f945ec

83445228 has 54 divisors (see below), whose sum is σ = 219492364. Its totient is φ = 27720144.

The previous prime is 83445227. The next prime is 83445239. The reversal of 83445228 is 82254438.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

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 = 83445192 and 83445201.

It is not an unprimeable number, because it can be changed into a prime (83445227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 284650 + ... + 284942.

Almost surely, 283445228 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 83445228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109746182).

83445228 is an abundant number, since it is smaller than the sum of its proper divisors (136047136).

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

83445228 is an equidigital number, since it uses as much as digits as its factorization.

83445228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 298 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 83445228 is about 9134.8359591183. The cubic root of 83445228 is about 436.9856429225.

The spelling of 83445228 in words is "eighty-three million, four hundred forty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 293 324 486 586 879 972 1172 1758 2637 3516 5274 7911 10548 15822 23733 31644 47466 71199 85849 94932 142398 171698 257547 284796 343396 515094 772641 1030188 1545282 2317923 3090564 4635846 6953769 9271692 13907538 20861307 27815076 41722614 83445228