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22826328 = 2337831637
BaseRepresentation
bin101011100010…
…0110101011000
31120221200211120
41113010311120
521320420303
62133125240
7365010030
oct127046530
946850746
1022826328
1111980838
127789820
134962a05
1430628c0
15200d553
hex15c4d58

22826328 has 64 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 6439296.

The previous prime is 22826273. The next prime is 22826341. The reversal of 22826328 is 82362822.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13126 + ... + 14762.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 222826328 is an apocalyptic number.

22826328 is a gapful number since it is divisible by the number (28) 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 22826328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

22826328 is an abundant number, since it is smaller than the sum of its proper divisors (43217832).

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

22826328 is a wasteful number, since it uses less digits than its factorization.

22826328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1732 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 22826328 is about 4777.6906555364. The cubic root of 22826328 is about 283.6690915406.

The spelling of 22826328 in words is "twenty-two million, eight hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1637 1743 1992 2324 3274 3486 4648 4911 6548 6972 9822 11459 13096 13944 19644 22918 34377 39288 45836 68754 91672 135871 137508 271742 275016 407613 543484 815226 951097 1086968 1630452 1902194 2853291 3260904 3804388 5706582 7608776 11413164 22826328