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226133388 = 2232131743661
BaseRepresentation
bin11010111101010…
…00010110001100
3120202111202200200
431132220112030
5430342232023
634234453500
75414050005
oct1536502614
9522452620
10226133388
111067123a8
1263894290
1337b07350
14220661ac
1514cbc743
hexd7a858c

226133388 has 144 divisors (see below), whose sum is σ = 667963296. Its totient is φ = 63866880.

The previous prime is 226133377. The next prime is 226133393. The reversal of 226133388 is 883331622.

226133388 is a `hidden beast` number, since 2 + 2 + 613 + 3 + 38 + 8 = 666.

226133388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261333882 = 102272618336717088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341778 + ... + 342438.

It is an arithmetic number, because the mean of its divisors is an integer number (4638634).

Almost surely, 2226133388 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 226133388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333981648).

226133388 is an abundant number, since it is smaller than the sum of its proper divisors (441829908).

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

226133388 is a wasteful number, since it uses less digits than its factorization.

226133388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 739 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 226133388 is about 15037.7321428465. The cubic root of 226133388 is about 609.2397480341.

The spelling of 226133388 in words is "two hundred twenty-six million, one hundred thirty-three thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 43 51 52 68 78 86 102 117 129 153 156 172 204 221 234 258 306 387 442 468 516 559 612 661 663 731 774 884 1118 1322 1326 1462 1548 1677 1983 1989 2193 2236 2644 2652 2924 3354 3966 3978 4386 5031 5949 6579 6708 7932 7956 8593 8772 9503 10062 11237 11898 13158 17186 19006 20124 22474 23796 25779 26316 28423 28509 33711 34372 38012 44948 51558 56846 57018 67422 77337 85269 85527 101133 103116 113692 114036 134844 146081 154674 170538 171054 202266 255807 292162 309348 341076 342108 369499 404532 438243 483191 511614 584324 738998 876486 966382 1023228 1108497 1314729 1449573 1477996 1752972 1932764 2216994 2629458 2899146 3325491 4348719 4433988 5258916 5798292 6281483 6650982 8697438 12562966 13301964 17394876 18844449 25125932 37688898 56533347 75377796 113066694 226133388