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226295118 = 232710916477
BaseRepresentation
bin11010111110011…
…11110101001110
3120202210222112200
431133033311032
5430412420433
634242142330
75415322350
oct1537176516
9522728480
10226295118
11106812965
12639519a6
1337b62b4a
14220a90d0
1514d00613
hexd7cfd4e

226295118 has 48 divisors (see below), whose sum is σ = 565524960. Its totient is φ = 64058688.

The previous prime is 226295117. The next prime is 226295119. The reversal of 226295118 is 811592622.

226295118 is a `hidden beast` number, since 22 + 629 + 5 + 1 + 1 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (226295117) and next prime (226295119).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226295117) 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 23 ways as a sum of consecutive naturals, for example, 5496 + ... + 21972.

It is an arithmetic number, because the mean of its divisors is an integer number (11781770).

Almost surely, 2226295118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226295118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282762480).

226295118 is an abundant number, since it is smaller than the sum of its proper divisors (339229842).

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

226295118 is a wasteful number, since it uses less digits than its factorization.

226295118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16601 (or 16598 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 226295118 is about 15043.1086547961. The cubic root of 226295118 is about 609.3849556401.

The spelling of 226295118 in words is "two hundred twenty-six million, two hundred ninety-five thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1962 2289 4578 6867 13734 16477 32954 49431 98862 115339 148293 230678 296586 346017 692034 1038051 1795993 2076102 3591986 5387979 10775958 12571951 16163937 25143902 32327874 37715853 75431706 113147559 226295118