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22266368 = 29157277
BaseRepresentation
bin101010011110…
…0001000000000
31112220020201022
41110330020000
521200010433
62113125012
7360155345
oct124741000
945806638
1022266368
1111629063
127559768
1347c7b87
142d587cc
151e4c698
hex153c200

22266368 has 40 divisors (see below), whose sum is σ = 44934252. Its totient is φ = 11022336.

The previous prime is 22266367. The next prime is 22266371. The reversal of 22266368 is 86366222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20502784 + 1763584 = 4528^2 + 1328^2 .

It is a super-2 number, since 2×222663682 = 991582287822848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22266367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80246 + ... + 80522.

Almost surely, 222266368 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 22266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467126).

22266368 is an abundant number, since it is smaller than the sum of its proper divisors (22667884).

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

22266368 is an equidigital number, since it uses as much as digits as its factorization.

22266368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 22266368 is about 4718.7252515907. The cubic root of 22266368 is about 281.3302685789.

The spelling of 22266368 in words is "twenty-two million, two hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 157 256 277 314 512 554 628 1108 1256 2216 2512 4432 5024 8864 10048 17728 20096 35456 40192 43489 70912 80384 86978 141824 173956 347912 695824 1391648 2783296 5566592 11133184 22266368