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22065216 = 263412803
BaseRepresentation
bin101010000101…
…1000001000000
31112112000210020
41110023001000
521122041331
62104533440
7355360035
oct124130100
945460706
1022065216
1111500a18
127481280
134757454
142d0538c
151e0cc96
hex150b040

22065216 has 56 divisors (see below), whose sum is σ = 59826144. Its totient is φ = 7173120.

The previous prime is 22065203. The next prime is 22065221. The reversal of 22065216 is 61256022.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 6471 + ... + 9273.

It is an arithmetic number, because the mean of its divisors is an integer number (1068324).

Almost surely, 222065216 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 22065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29913072).

22065216 is an abundant number, since it is smaller than the sum of its proper divisors (37760928).

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

22065216 is a wasteful number, since it uses less digits than its factorization.

22065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 22065216 is about 4697.3626643043. The cubic root of 22065216 is about 280.4805353787.

The spelling of 22065216 in words is "twenty-two million, sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 2803 3936 5606 7872 8409 11212 16818 22424 33636 44848 67272 89696 114923 134544 179392 229846 269088 344769 459692 538176 689538 919384 1379076 1838768 2758152 3677536 5516304 7355072 11032608 22065216