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22273216 = 26783599
BaseRepresentation
bin101010011110…
…1110011000000
31112220121002221
41110331303000
521200220331
62113220424
7360214330
oct124756300
945817087
1022273216
1111633219
127561714
1347cb024
142d5b0c0
151e4e711
hex153dcc0

22273216 has 56 divisors (see below), whose sum is σ = 51206400. Its totient is φ = 9414912.

The previous prime is 22273201. The next prime is 22273217. The reversal of 22273216 is 61237222.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (22273217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36885 + ... + 37483.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 222273216 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 22273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603200).

22273216 is an abundant number, since it is smaller than the sum of its proper divisors (28933184).

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

22273216 is an equidigital number, since it uses as much as digits as its factorization.

22273216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 22273216 is about 4719.4508155081. The cubic root of 22273216 is about 281.3591065737.

The spelling of 22273216 in words is "twenty-two million, two hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 599 664 1162 1198 1328 2324 2396 2656 4193 4648 4792 5312 8386 9296 9584 16772 18592 19168 33544 37184 38336 49717 67088 99434 134176 198868 268352 348019 397736 696038 795472 1392076 1590944 2784152 3181888 5568304 11136608 22273216