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84223008 = 2532292441
BaseRepresentation
bin1010000010100…
…10010000100000
312212110222020200
411001102100200
5133030114013
612205105200
72041612062
oct501222040
9185428220
1084223008
11435a5aa1
1224258200
13145ab5cc
14b285732
1575d9e73
hex5052420

84223008 has 36 divisors (see below), whose sum is σ = 239509998. Its totient is φ = 28074240.

The previous prime is 84222977. The next prime is 84223021. The reversal of 84223008 is 80032248.

It can be written as a sum of positive squares in only one way, i.e., 46621584 + 37601424 = 6828^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145933 + ... + 146508.

Almost surely, 284223008 is an apocalyptic number.

It is an amenable number.

84223008 is an abundant number, since it is smaller than the sum of its proper divisors (155286990).

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

84223008 is a wasteful number, since it uses less digits than its factorization.

84223008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292457 (or 292446 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84223008 is about 9177.3094096255. The cubic root of 84223008 is about 438.3391381048.

The spelling of 84223008 in words is "eighty-four million, two hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 292441 584882 877323 1169764 1754646 2339528 2631969 3509292 4679056 5263938 7018584 9358112 10527876 14037168 21055752 28074336 42111504 84223008