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84222846 = 232311491013
BaseRepresentation
bin1010000010100…
…10001101111110
312212110222000200
411001102031332
5133030112341
612205104330
72041611441
oct501221576
9185428020
1084222846
11435a5964
12242580a6
13145ab506
14b285658
1575d9db6
hex505237e

84222846 has 48 divisors (see below), whose sum is σ = 189820800. Its totient is φ = 26959680.

The previous prime is 84222833. The next prime is 84222851. The reversal of 84222846 is 64822248.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 84222846.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82636 + ... + 83648.

It is an arithmetic number, because the mean of its divisors is an integer number (3954600).

Almost surely, 284222846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84222846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94910400).

84222846 is an abundant number, since it is smaller than the sum of its proper divisors (105597954).

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

84222846 is a wasteful number, since it uses less digits than its factorization.

84222846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1198 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 84222846 is about 9177.3005835049. The cubic root of 84222846 is about 438.3388570613.

The spelling of 84222846 in words is "eighty-four million, two hundred twenty-two thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 149 186 279 298 447 558 894 1013 1341 2026 2682 3039 4619 6078 9117 9238 13857 18234 27714 31403 41571 62806 83142 94209 150937 188418 282627 301874 452811 565254 905622 1358433 2716866 4679047 9358094 14037141 28074282 42111423 84222846