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226444416 = 2731153609
BaseRepresentation
bin11010111111101…
…00010010000000
3120210002120100020
431133310102000
5430432210131
634245253440
75416513542
oct1537642200
9523076306
10226444416
11106905050
1263a04280
1337bb5aa3
1422107692
1514d2e996
hexd7f4480

226444416 has 64 divisors (see below), whose sum is σ = 656186400. Its totient is φ = 68618240.

The previous prime is 226444411. The next prime is 226444417. The reversal of 226444416 is 614444622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is not an unprimeable number, because it can be changed into a prime (226444411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22581 + ... + 31028.

Almost surely, 2226444416 is an apocalyptic number.

It is an amenable number.

226444416 is an abundant number, since it is smaller than the sum of its proper divisors (429741984).

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

226444416 is a wasteful number, since it uses less digits than its factorization.

226444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53637 (or 53625 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 226444416 is about 15048.0701752750. The cubic root of 226444416 is about 609.5189399041.

The spelling of 226444416 in words is "two hundred twenty-six million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 53609 107218 160827 214436 321654 428872 589699 643308 857744 1179398 1286616 1715488 1769097 2358796 2573232 3430976 3538194 4717592 5146464 6861952 7076388 9435184 10292928 14152776 18870368 20585856 28305552 37740736 56611104 75481472 113222208 226444416