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226274048 = 2871113883
BaseRepresentation
bin11010111110010…
…10101100000000
3120202202220122022
431133022230000
5430411232143
634241501012
75415204050
oct1537125400
9522686568
10226274048
111067a9050
1263941768
1337b56390
14220a1560
1514ce9268
hexd7cab00

226274048 has 144 divisors (see below), whose sum is σ = 607117056. Its totient is φ = 81285120.

The previous prime is 226274033. The next prime is 226274051. The reversal of 226274048 is 840472622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 226273999 and 226274017.

It is an unprimeable number.

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, 255815 + ... + 256697.

Almost surely, 2226274048 is an apocalyptic number.

226274048 is a gapful number since it is divisible by the number (28) 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 226274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303558528).

226274048 is an abundant number, since it is smaller than the sum of its proper divisors (380843008).

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

226274048 is a wasteful number, since it uses less digits than its factorization.

226274048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 226274048 is about 15042.4083178193. The cubic root of 226274048 is about 609.3660420791.

The spelling of 226274048 in words is "two hundred twenty-six million, two hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 256 286 308 352 364 416 448 572 616 704 728 832 883 896 1001 1144 1232 1408 1456 1664 1766 1792 2002 2288 2464 2816 2912 3328 3532 4004 4576 4928 5824 6181 7064 8008 9152 9713 9856 11479 11648 12362 14128 16016 18304 19426 19712 22958 23296 24724 28256 32032 36608 38852 45916 49448 56512 64064 67991 77704 80353 91832 98896 113024 126269 128128 135982 155408 160706 183664 197792 226048 252538 256256 271964 310816 321412 367328 395584 505076 543928 621632 642824 734656 791168 883883 1010152 1087856 1243264 1285648 1469312 1582336 1767766 2020304 2175712 2486528 2571296 2938624 3535532 4040608 4351424 5142592 7071064 8081216 8702848 10285184 14142128 16162432 17405696 20570368 28284256 32324864 56568512 113137024 226274048