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5222016 = 27331511
BaseRepresentation
bin10011111010111010000000
3100211022021000
4103322322000
52314101031
6303532000
762246352
oct23727200
910738230
105222016
112a47418
1218ba000
13110ab67
1499d0d2
156d23e6
hex4fae80

5222016 has 64 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1739520.

The previous prime is 5222011. The next prime is 5222023. The reversal of 5222016 is 6102225.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×52220162 = 54538902208512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 5222016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5222011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2701 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 25222016 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 5222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

5222016 is an abundant number, since it is smaller than the sum of its proper divisors (10200384).

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

5222016 is a wasteful number, since it uses less digits than its factorization.

5222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5222016 is about 2285.1730787842. The cubic root of 5222016 is about 173.4919783572.

The spelling of 5222016 in words is "five million, two hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1511 1728 3022 3456 4533 6044 9066 12088 13599 18132 24176 27198 36264 40797 48352 54396 72528 81594 96704 108792 145056 163188 193408 217584 290112 326376 435168 580224 652752 870336 1305504 1740672 2611008 5222016