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226415616 = 2103710529
BaseRepresentation
bin11010111111011…
…01010000000000
3120210001002211120
431133231100000
5430430244431
634244512240
75416333560
oct1537552000
9523032746
10226415616
11106895449
12639ab680
1337ba594b
14220dada0
1514d26196
hexd7ed400

226415616 has 88 divisors (see below), whose sum is σ = 689757120. Its totient is φ = 64684032.

The previous prime is 226415593. The next prime is 226415621. The reversal of 226415616 is 616514622.

It is a congruent number.

It is an unprimeable number.

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, 16240 + ... + 26768.

Almost surely, 2226415616 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 226415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344878560).

226415616 is an abundant number, since it is smaller than the sum of its proper divisors (463341504).

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

226415616 is a wasteful number, since it uses less digits than its factorization.

226415616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10541 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 226415616 is about 15047.1132115100. The cubic root of 226415616 is about 609.4930985519.

The spelling of 226415616 in words is "two hundred twenty-six million, four hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10529 10752 21058 21504 31587 42116 63174 73703 84232 126348 147406 168464 221109 252696 294812 336928 442218 505392 589624 673856 884436 1010784 1179248 1347712 1768872 2021568 2358496 2695424 3537744 4043136 4716992 5390848 7075488 8086272 9433984 10781696 14150976 16172544 18867968 28301952 32345088 37735936 56603904 75471872 113207808 226415616