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84225636 = 223311312287
BaseRepresentation
bin1010000010100…
…10111001100100
312212111002212000
411001102321210
5133030210021
612205125300
72041622535
oct501227144
9185432760
1084225636
11435a7a70
1224259830
13145ac871
14b28668c
1575dab26
hex5052e64

84225636 has 96 divisors (see below), whose sum is σ = 246005760. Its totient is φ = 24688800.

The previous prime is 84225619. The next prime is 84225671. The reversal of 84225636 is 63652248.

84225636 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

84225636 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 84225636.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35685 + ... + 37971.

It is an arithmetic number, because the mean of its divisors is an integer number (2562560).

Almost surely, 284225636 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 84225636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123002880).

84225636 is an abundant number, since it is smaller than the sum of its proper divisors (161780124).

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

84225636 is a wasteful number, since it uses less digits than its factorization.

84225636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2334 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 84225636 is about 9177.4525877283. The cubic root of 84225636 is about 438.3436972045.

The spelling of 84225636 in words is "eighty-four million, two hundred twenty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 2287 3069 3348 4092 4574 6138 6861 9148 9207 12276 13722 18414 20583 25157 27444 36828 41166 50314 61749 70897 75471 82332 100628 123498 141794 150942 212691 226413 246996 283588 301884 425382 452826 638073 679239 779867 850764 905652 1276146 1358478 1559734 1914219 2339601 2552292 2716956 3119468 3828438 4679202 7018803 7656876 9358404 14037606 21056409 28075212 42112818 84225636