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226055388 = 2231319531439
BaseRepresentation
bin11010111100101…
…01010011011100
3120202100210200210
431132111103130
5430332233023
634233052420
75413303416
oct1536252334
9522323623
10226055388
11106669839
1263857110
1337aaa9b0
14220459b6
1514ca4593
hexd7954dc

226055388 has 96 divisors (see below), whose sum is σ = 609638400. Its totient is φ = 64606464.

The previous prime is 226055381. The next prime is 226055393. The reversal of 226055388 is 883550622.

It is a super-2 number, since 2×2260553882 = 102202076887661088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226055381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156373 + ... + 157811.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2226055388 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 226055388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

226055388 is an abundant number, since it is smaller than the sum of its proper divisors (383583012).

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

226055388 is a wasteful number, since it uses less digits than its factorization.

226055388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 226055388 is about 15035.1384429941. The cubic root of 226055388 is about 609.1696917934.

The spelling of 226055388 in words is "two hundred twenty-six million, fifty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 53 57 76 78 106 114 156 159 212 228 247 318 494 636 689 741 988 1007 1378 1439 1482 2014 2067 2756 2878 2964 3021 4028 4134 4317 5756 6042 8268 8634 12084 13091 17268 18707 26182 27341 37414 39273 52364 54682 56121 74828 76267 78546 82023 109364 112242 152534 157092 164046 224484 228801 305068 328092 355433 457602 710866 915204 991471 1066299 1421732 1449073 1982942 2132598 2898146 2974413 3965884 4265196 4347219 5796292 5948826 8694438 11897652 17388876 18837949 37675898 56513847 75351796 113027694 226055388