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22276080 = 2433510313
BaseRepresentation
bin101010011111…
…0011111110000
31112220202001000
41110332133300
521200313310
62113242000
7360225561
oct124763760
945822030
1022276080
1111635392
127563300
1347cc418
142d5c168
151e504c0
hex153e7f0

22276080 has 80 divisors (see below), whose sum is σ = 76736160. Its totient is φ = 5939712.

The previous prime is 22276061. The next prime is 22276087. The reversal of 22276080 is 8067222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22276087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2997 + ... + 7316.

It is an arithmetic number, because the mean of its divisors is an integer number (959202).

Almost surely, 222276080 is an apocalyptic number.

22276080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22276080 is an abundant number, since it is smaller than the sum of its proper divisors (54460080).

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

22276080 is a wasteful number, since it uses less digits than its factorization.

22276080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22276080 is about 4719.7542308896. The cubic root of 22276080 is about 281.3711655708.

The spelling of 22276080 in words is "twenty-two million, two hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 10313 20626 30939 41252 51565 61878 82504 92817 103130 123756 154695 165008 185634 206260 247512 278451 309390 371268 412520 464085 495024 556902 618780 742536 825040 928170 1113804 1237560 1392255 1485072 1856340 2227608 2475120 2784510 3712680 4455216 5569020 7425360 11138040 22276080