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226381428 = 2232713193637
BaseRepresentation
bin11010111111001…
…00111001110100
3120202222100221100
431133210321310
5430423201203
634244050100
75416132110
oct1537447164
9522870840
10226381428
11106871799
1263993930
1337b93210
14220cc740
1514d1aea3
hexd7e4e74

226381428 has 144 divisors (see below), whose sum is σ = 741569920. Its totient is φ = 56547072.

The previous prime is 226381423. The next prime is 226381471. The reversal of 226381428 is 824183622.

226381428 is a `hidden beast` number, since 2 + 2 + 638 + 14 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226381392 and 226381401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226381423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60426 + ... + 64062.

Almost surely, 2226381428 is an apocalyptic number.

226381428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226381428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370784960).

226381428 is an abundant number, since it is smaller than the sum of its proper divisors (515188492).

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

226381428 is a wasteful number, since it uses less digits than its factorization.

226381428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3681 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 226381428 is about 15045.9771367632. The cubic root of 226381428 is about 609.4624198686.

The spelling of 226381428 in words is "two hundred twenty-six million, three hundred eighty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2394 2964 3276 3458 3637 4446 4788 5187 6916 7274 8892 10374 10911 14548 15561 20748 21822 25459 31122 32733 43644 47281 50918 62244 65466 69103 76377 94562 101836 130932 138206 141843 152754 189124 207309 229131 276412 283686 305508 330967 414618 425529 458262 483721 567372 621927 661934 829236 851058 898339 916524 967442 992901 1243854 1323868 1451163 1702116 1796678 1934884 1985802 2487708 2695017 2902326 2978703 3593356 3971604 4353489 5390034 5804652 5957406 6288373 8085051 8706978 10780068 11914812 12576746 16170102 17413956 18865119 25153492 32340204 37730238 56595357 75460476 113190714 226381428