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226300608 = 2633173757
BaseRepresentation
bin11010111110100…
…01001011000000
3120202211021002000
431133101023000
5430413104413
634242224000
75415344352
oct1537211300
9522737060
10226300608
11106816aa6
1263955000
1337b654b1
14220ab0d2
1514d02073
hexd7d12c0

226300608 has 112 divisors (see below), whose sum is σ = 670011360. Its totient is φ = 74898432.

The previous prime is 226300603. The next prime is 226300609. The reversal of 226300608 is 806003622.

226300608 is a `hidden beast` number, since 2 + 26 + 30 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (226300603) 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 15 ways as a sum of consecutive naturals, for example, 298566 + ... + 299322.

Almost surely, 2226300608 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 226300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335005680).

226300608 is an abundant number, since it is smaller than the sum of its proper divisors (443710752).

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

226300608 is a wasteful number, since it uses less digits than its factorization.

226300608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 226300608 is about 15043.2911292709. The cubic root of 226300608 is about 609.3898835655.

The spelling of 226300608 in words is "two hundred twenty-six million, three hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 173 192 216 288 346 432 519 576 692 757 864 1038 1384 1514 1557 1728 2076 2271 2768 3028 3114 4152 4542 4671 5536 6056 6228 6813 8304 9084 9342 11072 12112 12456 13626 16608 18168 18684 20439 24224 24912 27252 33216 36336 37368 40878 48448 49824 54504 72672 74736 81756 99648 109008 130961 145344 149472 163512 218016 261922 298944 327024 392883 436032 523844 654048 785766 1047688 1178649 1308096 1571532 2095376 2357298 3143064 3535947 4190752 4714596 6286128 7071894 8381504 9429192 12572256 14143788 18858384 25144512 28287576 37716768 56575152 75433536 113150304 226300608