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226252660 = 225176110909
BaseRepresentation
bin11010111110001…
…01011101110100
3120202201211022011
431133011131310
5430410041120
634241214004
75415054514
oct1537053564
9522654264
10226252660
11106793a77
1263931304
1337b4971a
1422097844
1514ce2c5a
hexd7c5774

226252660 has 48 divisors (see below), whose sum is σ = 511373520. Its totient is φ = 83773440.

The previous prime is 226252619. The next prime is 226252667. The reversal of 226252660 is 66252622.

It can be written as a sum of positive squares in 8 ways, for example, as 28793956 + 197458704 = 5366^2 + 14052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226252667) 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 15 ways as a sum of consecutive naturals, for example, 15286 + ... + 26194.

It is an arithmetic number, because the mean of its divisors is an integer number (10653615).

Almost surely, 2226252660 is an apocalyptic number.

226252660 is a gapful number since it is divisible by the number (20) 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 226252660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255686760).

226252660 is an abundant number, since it is smaller than the sum of its proper divisors (285120860).

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

226252660 is a wasteful number, since it uses less digits than its factorization.

226252660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 10994 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 226252660 is about 15041.6973776233. The cubic root of 226252660 is about 609.3468418635.

The spelling of 226252660 in words is "two hundred twenty-six million, two hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4148 5185 10370 10909 20740 21818 43636 54545 109090 185453 218180 370906 665449 741812 927265 1330898 1854530 2661796 3327245 3709060 6654490 11312633 13308980 22625266 45250532 56563165 113126330 226252660