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22680224 = 25719732
BaseRepresentation
bin101011010000…
…1001010100000
31120200021102022
41112201022200
521301231344
62130041012
7363531050
oct126411240
946607368
1022680224
1111890a96
127719168
134911368
143025560
151ed00ee
hex15a12a0

22680224 has 72 divisors (see below), whose sum is σ = 54462240. Its totient is φ = 9082368.

The previous prime is 22680211. The next prime is 22680241. The reversal of 22680224 is 42208622.

It is a junction number, because it is equal to n+sod(n) for n = 22680193 and 22680202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310652 + ... + 310724.

It is an arithmetic number, because the mean of its divisors is an integer number (756420).

Almost surely, 222680224 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 22680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231120).

22680224 is an abundant number, since it is smaller than the sum of its proper divisors (31782016).

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

22680224 is an equidigital number, since it uses as much as digits as its factorization.

22680224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 22680224 is about 4762.3758776476. The cubic root of 22680224 is about 283.0625707061.

Adding to 22680224 its reverse (42208622), we get a palindrome (64888846).

The spelling of 22680224 in words is "twenty-two million, six hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 73 76 112 133 146 152 224 266 292 304 511 532 584 608 1022 1064 1168 1387 2044 2128 2336 2774 4088 4256 5329 5548 8176 9709 10658 11096 16352 19418 21316 22192 37303 38836 42632 44384 74606 77672 85264 101251 149212 155344 170528 202502 298424 310688 405004 596848 708757 810008 1193696 1417514 1620016 2835028 3240032 5670056 11340112 22680224