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12223488 = 210323173
BaseRepresentation
bin101110101000…
…010000000000
3212000000110210
4232220100000
511112122423
61113554120
7205616664
oct56502000
925000423
1012223488
116999762
124115940
1326bc944
1418a28a4
151116b93
hexba8400

12223488 has 88 divisors (see below), whose sum is σ = 34193088. Its totient is φ = 3874816.

The previous prime is 12223483. The next prime is 12223501. The reversal of 12223488 is 88432221.

It is a super-2 number, since 2×122234882 = 298827317772288, which contains 22 as substring.

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

It is a plaindrome in base 10.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12223483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70570 + ... + 70742.

Almost surely, 212223488 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 12223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17096544).

12223488 is an abundant number, since it is smaller than the sum of its proper divisors (21969600).

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

12223488 is a wasteful number, since it uses less digits than its factorization.

12223488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 12223488 is about 3496.2105199773. The cubic root of 12223488 is about 230.3553925988.

The spelling of 12223488 in words is "twelve million, two hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 173 184 192 256 276 346 368 384 512 519 552 692 736 768 1024 1038 1104 1384 1472 1536 2076 2208 2768 2944 3072 3979 4152 4416 5536 5888 7958 8304 8832 11072 11776 11937 15916 16608 17664 22144 23552 23874 31832 33216 35328 44288 47748 63664 66432 70656 88576 95496 127328 132864 177152 190992 254656 265728 381984 509312 531456 763968 1018624 1527936 2037248 3055872 4074496 6111744 12223488