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84228336 = 2434173823
BaseRepresentation
bin1010000010100…
…11100011110000
312212111020120000
411001103203300
5133030301321
612205150000
72041633443
oct501234360
9185436500
1084228336
11435a9aa5
122425b300
13145b0b6a
14b28765a
1575db826
hex50538f0

84228336 has 100 divisors (see below), whose sum is σ = 258188832. Its totient is φ = 26417664.

The previous prime is 84228329. The next prime is 84228343. The reversal of 84228336 is 63382248.

It is an interprime number because it is at equal distance from previous prime (84228329) and next prime (84228343).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84228336.

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 19 ways as a sum of consecutive naturals, for example, 20121 + ... + 23943.

Almost surely, 284228336 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 84228336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129094416).

84228336 is an abundant number, since it is smaller than the sum of its proper divisors (173960496).

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

84228336 is a wasteful number, since it uses less digits than its factorization.

84228336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3845 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 84228336 is about 9177.5996861925. The cubic root of 84228336 is about 438.3483811123.

The spelling of 84228336 in words is "eighty-four million, two hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 3823 5508 7344 7646 11016 11469 15292 22032 22938 30584 34407 45876 61168 64991 68814 91752 103221 129982 137628 183504 194973 206442 259964 275256 309663 389946 412884 519928 550512 584919 619326 779892 825768 1039856 1169838 1238652 1559784 1651536 1754757 2339676 2477304 3119568 3509514 4679352 4954608 5264271 7019028 9358704 10528542 14038056 21057084 28076112 42114168 84228336