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22294272 = 2837111329
BaseRepresentation
bin101010100001…
…0111100000000
31112221122222210
41111002330000
521201404042
62113502120
7360332610
oct125027400
945848883
1022294272
1111648020
127571940
1348077a0
142d64a40
151e55a9c
hex1542f00

22294272 has 288 divisors, whose sum is σ = 82414080. Its totient is φ = 5160960.

The previous prime is 22294267. The next prime is 22294289. The reversal of 22294272 is 27249222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768754 + ... + 768782.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 222294272 is an apocalyptic number.

22294272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207040).

22294272 is an abundant number, since it is smaller than the sum of its proper divisors (60119808).

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

22294272 is a wasteful number, since it uses less digits than its factorization.

22294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 22294272 is about 4721.6810565730. The cubic root of 22294272 is about 281.4477396578.

The spelling of 22294272 in words is "twenty-two million, two hundred ninety-four thousand, two hundred seventy-two".