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22064672 = 257137719
BaseRepresentation
bin101010000101…
…0111000100000
31112112000001002
41110022320200
521122032142
62104531132
7355355330
oct124127040
945460032
1022064672
1111500573
127480aa8
134757126
142d050c0
151e0ca32
hex150ae20

22064672 has 48 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 9374208.

The previous prime is 22064671. The next prime is 22064677. The reversal of 22064672 is 27646022.

It is not an unprimeable number, because it can be changed into a prime (22064671) 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, 30329 + ... + 31047.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 222064672 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 22064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

22064672 is an abundant number, since it is smaller than the sum of its proper divisors (28012768).

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

22064672 is a wasteful number, since it uses less digits than its factorization.

22064672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 22064672 is about 4697.3047591145. The cubic root of 22064672 is about 280.4782303531.

The spelling of 22064672 in words is "twenty-two million, sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 719 959 1096 1438 1918 2192 2876 3836 4384 5033 5752 7672 10066 11504 15344 20132 23008 30688 40264 80528 98503 161056 197006 394012 689521 788024 1379042 1576048 2758084 3152096 5516168 11032336 22064672