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226162044 = 2237103251
BaseRepresentation
bin11010111101011…
…11010101111100
3120202120020000000
431132233111330
5430344141134
634235234300
75414226363
oct1536572574
9522506000
10226162044
11106731989
12638a8990
1337b173c4
14220727da
1514cc5e99
hexd7af57c

226162044 has 96 divisors (see below), whose sum is σ = 601735680. Its totient is φ = 74358000.

The previous prime is 226162043. The next prime is 226162049. The reversal of 226162044 is 440261622.

226162044 is a `hidden beast` number, since 2 + 2 + 616 + 2 + 0 + 44 = 666.

It is a super-2 number, since 2×2261620442 = 102298540292515872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 226161999 and 226162017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226162043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900919 + ... + 901169.

It is an arithmetic number, because the mean of its divisors is an integer number (6268080).

Almost surely, 2226162044 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 226162044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300867840).

226162044 is an abundant number, since it is smaller than the sum of its proper divisors (375573636).

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

226162044 is a wasteful number, since it uses less digits than its factorization.

226162044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 226162044 is about 15038.6849159094. The cubic root of 226162044 is about 609.2654815727.

The spelling of 226162044 in words is "two hundred twenty-six million, one hundred sixty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 243 251 309 324 412 486 502 618 729 753 927 972 1004 1236 1458 1506 1854 2187 2259 2781 2916 3012 3708 4374 4518 5562 6777 8343 8748 9036 11124 13554 16686 20331 25029 25853 27108 33372 40662 50058 51706 60993 75087 77559 81324 100116 103412 121986 150174 155118 182979 225261 232677 243972 300348 310236 365958 450522 465354 548937 698031 731916 901044 930708 1097874 1396062 2094093 2195748 2792124 4188186 6282279 8376372 12564558 18846837 25129116 37693674 56540511 75387348 113081022 226162044