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226316288 = 212115023
BaseRepresentation
bin11010111110101…
…01000000000000
3120202212001120202
431133111000000
5430414110123
634242424332
75415441152
oct1537250000
9522761522
10226316288
11106827860
12639620a8
1337b6c683
14220b2ad2
1514d06a28
hexd7d5000

226316288 has 52 divisors (see below), whose sum is σ = 493819008. Its totient is φ = 102850560.

The previous prime is 226316281. The next prime is 226316303. The reversal of 226316288 is 882613622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226316281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42545 + ... + 47567.

Almost surely, 2226316288 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 226316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246909504).

226316288 is an abundant number, since it is smaller than the sum of its proper divisors (267502720).

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

226316288 is an equidigital number, since it uses as much as digits as its factorization.

226316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5036 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 226316288 is about 15043.8122827959. The cubic root of 226316288 is about 609.4039577841.

The spelling of 226316288 in words is "two hundred twenty-six million, three hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5023 5632 10046 11264 20092 22528 40184 45056 55253 80368 110506 160736 221012 321472 442024 642944 884048 1285888 1768096 2571776 3536192 5143552 7072384 10287104 14144768 20574208 28289536 56579072 113158144 226316288