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227438112 = 25311375821
BaseRepresentation
bin11011000111001…
…10111000100000
3120211222001102210
431203212320200
5431211004422
634322442120
75431122606
oct1543467040
9524861383
10227438112
11107423690
1264203340
1338173185
14222c5876
1514e7910c
hexd8e6e20

227438112 has 96 divisors (see below), whose sum is σ = 669017664. Its totient is φ = 67046400.

The previous prime is 227438069. The next prime is 227438117. The reversal of 227438112 is 211834722.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 227438112.

It is not an unprimeable number, because it can be changed into a prime (227438117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36162 + ... + 41982.

It is an arithmetic number, because the mean of its divisors is an integer number (6968934).

Almost surely, 2227438112 is an apocalyptic number.

227438112 is a gapful number since it is divisible by the number (22) 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 227438112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334508832).

227438112 is an abundant number, since it is smaller than the sum of its proper divisors (441579552).

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

227438112 is a wasteful number, since it uses less digits than its factorization.

227438112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5874 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 227438112 is about 15081.0514222318. The cubic root of 227438112 is about 610.4092139093.

The spelling of 227438112 in words is "two hundred twenty-seven million, four hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 5821 6512 9768 11642 13024 17463 19536 23284 34926 39072 46568 64031 69852 93136 128062 139704 186272 192093 215377 256124 279408 384186 430754 512248 558816 646131 768372 861508 1024496 1292262 1536744 1723016 2048992 2369147 2584524 3073488 3446032 4738294 5169048 6146976 6892064 7107441 9476588 10338096 14214882 18953176 20676192 28429764 37906352 56859528 75812704 113719056 227438112