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226183440 = 243573143101
BaseRepresentation
bin11010111101101…
…00100100010000
3120202121022100110
431132310210100
5430400332230
634235521320
75414345640
oct1536644420
9522538313
10226183440
11106746a6a
12638b9240
1337b24072
142207a520
1514ccc4b0
hexd7b4910

226183440 has 320 divisors, whose sum is σ = 854802432. Its totient is φ = 48384000.

The previous prime is 226183369. The next prime is 226183457. The reversal of 226183440 is 44381622.

226183440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 226183398 and 226183407.

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 63 ways as a sum of consecutive naturals, for example, 2239390 + ... + 2239490.

Almost surely, 2226183440 is an apocalyptic number.

226183440 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 226183440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427401216).

226183440 is an abundant number, since it is smaller than the sum of its proper divisors (628618992).

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

226183440 is a wasteful number, since it uses less digits than its factorization.

226183440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 226183440 is about 15039.3962644782. The cubic root of 226183440 is about 609.2846940998.

The spelling of 226183440 in words is "two hundred twenty-six million, one hundred eighty-three thousand, four hundred forty".