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226254016 = 2683191223
BaseRepresentation
bin11010111110001…
…01110011000000
3120202201220011101
431133011303000
5430410112031
634241224144
75415061462
oct1537056300
9522656141
10226254016
11106794a9a
1263932054
1337b4a221
1422098132
1514ce3361
hexd7c5cc0

226254016 has 56 divisors (see below), whose sum is σ = 458809344. Its totient is φ = 110680320.

The previous prime is 226254011. The next prime is 226254043. The reversal of 226254016 is 610452622.

226254016 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2262540162 = 102381759512256512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226254011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014481 + ... + 1014703.

It is an arithmetic number, because the mean of its divisors is an integer number (8193024).

Almost surely, 2226254016 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 226254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229404672).

226254016 is an abundant number, since it is smaller than the sum of its proper divisors (232555328).

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

226254016 is a wasteful number, since it uses less digits than its factorization.

226254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 226254016 is about 15041.7424522560. The cubic root of 226254016 is about 609.3480591938.

The spelling of 226254016 in words is "two hundred twenty-six million, two hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 83 166 191 223 332 382 446 664 764 892 1328 1528 1784 2656 3056 3568 5312 6112 7136 12224 14272 15853 18509 31706 37018 42593 63412 74036 85186 126824 148072 170372 253648 296144 340744 507296 592288 681488 1014592 1184576 1362976 2725952 3535219 7070438 14140876 28281752 56563504 113127008 226254016