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226127538 = 2357135113
BaseRepresentation
bin11010111101001…
…10111010110010
3120202111110200000
431132212322302
5430342040123
634234410430
75414023650
oct1536467262
9522443600
10226127538
11106708a6a
1263890a16
1337b047a0
1422063dd0
1514cbab43
hexd7a6eb2

226127538 has 96 divisors (see below), whose sum is σ = 625462656. Its totient is φ = 59626368.

The previous prime is 226127537. The next prime is 226127543. The reversal of 226127538 is 835721622.

226127538 is a `hidden beast` number, since 2 + 2 + 612 + 7 + 5 + 38 = 666.

It is a super-2 number, since 2×2261275382 = 102267326883882888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226127533) 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, 41670 + ... + 46782.

It is an arithmetic number, because the mean of its divisors is an integer number (6515236).

Almost surely, 2226127538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226127538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312731328).

226127538 is an abundant number, since it is smaller than the sum of its proper divisors (399335118).

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

226127538 is a wasteful number, since it uses less digits than its factorization.

226127538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5138 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 226127538 is about 15037.5376308756. The cubic root of 226127538 is about 609.2344943749.

The spelling of 226127538 in words is "two hundred twenty-six million, one hundred twenty-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 819 1053 1134 1638 1701 2106 2457 3159 3402 4914 5113 6318 7371 10226 14742 15339 22113 30678 35791 44226 46017 66469 71582 92034 107373 132938 138051 199407 214746 276102 322119 398814 414153 465283 598221 644238 828306 930566 966357 1196442 1242459 1395849 1794663 1932714 2484918 2791698 2899071 3589326 4187547 5383989 5798142 8375094 8697213 10767978 12562641 16151967 17394426 25125282 32303934 37687923 75375846 113063769 226127538