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22313088 = 273272767
BaseRepresentation
bin101010100011…
…1100010000000
31112222121210200
41111013202000
521203004323
62114125200
7360441510
oct125074200
945877720
1022313088
1111660176
127580800
134813215
142d6b840
151e5b443
hex1547880

22313088 has 96 divisors (see below), whose sum is σ = 73407360. Its totient is φ = 6372864.

The previous prime is 22313069. The next prime is 22313111. The reversal of 22313088 is 88031322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×223130883 (a number of 23 digits) contains 333 as substring.

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, 6681 + ... + 9447.

It is an arithmetic number, because the mean of its divisors is an integer number (764660).

Almost surely, 222313088 is an apocalyptic number.

22313088 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 22313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36703680).

22313088 is an abundant number, since it is smaller than the sum of its proper divisors (51094272).

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

22313088 is a wasteful number, since it uses less digits than its factorization.

22313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22313088 is about 4723.6731470329. The cubic root of 22313088 is about 281.5268964854.

The spelling of 22313088 in words is "twenty-two million, three hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 2767 4032 5534 8064 8301 11068 16602 19369 22136 24903 33204 38738 44272 49806 58107 66408 77476 88544 99612 116214 132816 154952 174321 177088 199224 232428 265632 309904 348642 354176 398448 464856 531264 619808 697284 796896 929712 1062528 1239616 1394568 1593792 1859424 2479232 2789136 3187584 3718848 5578272 7437696 11156544 22313088