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226141344 = 2532111317219
BaseRepresentation
bin11010111101010…
…10010010100000
3120202112011121100
431132222102200
5430343010334
634234554400
75414112132
oct1536522240
9522464540
10226141344
11106718380
1263898a00
1337b0ab60
1422069052
1514cbec99
hexd7aa4a0

226141344 has 432 divisors, whose sum is σ = 844814880. Its totient is φ = 56401920.

The previous prime is 226141337. The next prime is 226141351. The reversal of 226141344 is 443141622.

It is a happy number.

226141344 is a `hidden beast` number, since 2 + 2 + 614 + 1 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (226141337) and next prime (226141351).

It is a super-2 number, since 2×2261413442 = 102279814932252672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 11902167 + ... + 11902185.

It is an arithmetic number, because the mean of its divisors is an integer number (1955590).

Almost surely, 2226141344 is an apocalyptic number.

226141344 is a gapful number since it is divisible by the number (24) 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 226141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422407440).

226141344 is an abundant number, since it is smaller than the sum of its proper divisors (618673536).

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

226141344 is a wasteful number, since it uses less digits than its factorization.

226141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

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

The square root of 226141344 is about 15037.9966750894. The cubic root of 226141344 is about 609.2468928652.

Adding to 226141344 its reverse (443141622), we get a palindrome (669282966).

The spelling of 226141344 in words is "two hundred twenty-six million, one hundred forty-one thousand, three hundred forty-four".