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226344690 = 2325111343409
BaseRepresentation
bin11010111110110…
…11111011110010
3120202220111112200
431133123323302
5430421012230
634243204030
75415620025
oct1537337362
9522814480
10226344690
11106847130
1263976616
1337b7c590
14220bd1bc
1514d10160
hexd7dbef2

226344690 has 192 divisors, whose sum is σ = 709188480. Its totient is φ = 49351680.

The previous prime is 226344683. The next prime is 226344691. The reversal of 226344690 is 96443622.

226344690 is a `hidden beast` number, since 226 + 344 + 6 + 90 = 666.

It is a super-2 number, since 2×2263446902 = 102463837382392200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (226344691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553206 + ... + 553614.

It is an arithmetic number, because the mean of its divisors is an integer number (3693690).

Almost surely, 2226344690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226344690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354594240).

226344690 is an abundant number, since it is smaller than the sum of its proper divisors (482843790).

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

226344690 is a wasteful number, since it uses less digits than its factorization.

226344690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 226344690 is about 15044.7562293312. The cubic root of 226344690 is about 609.4294494936.

Adding to 226344690 its sum of digits (36), we get a triangular number (226344726 = T21276).

The spelling of 226344690 in words is "two hundred twenty-six million, three hundred forty-four thousand, six hundred ninety".