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226019430 = 23357139199
BaseRepresentation
bin11010111100011…
…00100001100110
3120202021222101000
431132030201212
5430330110210
634232214130
75413063530
oct1536144146
9522258330
10226019430
1110664481a
126383a346
1337a97510
1422036850
1514c98ac0
hexd78c866

226019430 has 128 divisors (see below), whose sum is σ = 741888000. Its totient is φ = 47682432.

The previous prime is 226019393. The next prime is 226019447. The reversal of 226019430 is 34910622.

226019430 is a `hidden beast` number, since 22 + 601 + 9 + 4 + 30 = 666.

226019430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 226019394 and 226019403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19971 + ... + 29169.

It is an arithmetic number, because the mean of its divisors is an integer number (5796000).

Almost surely, 2226019430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226019430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370944000).

226019430 is an abundant number, since it is smaller than the sum of its proper divisors (515868570).

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

226019430 is a wasteful number, since it uses less digits than its factorization.

226019430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 226019430 is about 15033.9425966710. The cubic root of 226019430 is about 609.1373904394.

The spelling of 226019430 in words is "two hundred twenty-six million, nineteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 9199 12285 18398 24570 27597 45995 55194 64393 82791 91990 119587 128786 137985 165582 193179 239174 248373 275970 321965 358761 386358 413955 496746 579537 597935 643930 717522 827910 837109 965895 1076283 1159074 1195870 1241865 1674218 1738611 1793805 1931790 2152566 2483730 2511327 2897685 3228849 3477222 3587610 4185545 5022654 5381415 5795370 6457698 7533981 8371090 8693055 10762830 12556635 15067962 16144245 17386110 22601943 25113270 32288490 37669905 45203886 75339810 113009715 226019430