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226343808 = 273519383
BaseRepresentation
bin11010111110110…
…11101110000000
3120202220110100000
431133123232000
5430421000213
634243200000
75415614325
oct1537335600
9522813300
10226343808
111068464a9
1263976000
1337b7c062
14220bcb4c
1514d0ec73
hexd7dbb80

226343808 has 192 divisors, whose sum is σ = 712857600. Its totient is φ = 71290368.

The previous prime is 226343791. The next prime is 226343809. The reversal of 226343808 is 808343622.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226343809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590785 + ... + 591167.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2226343808 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 226343808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

226343808 is an abundant number, since it is smaller than the sum of its proper divisors (486513792).

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

226343808 is an equidigital number, since it uses as much as digits as its factorization.

226343808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 226343808 is about 15044.7269167639. The cubic root of 226343808 is about 609.4286579023.

The spelling of 226343808 in words is "two hundred twenty-six million, three hundred forty-three thousand, eight hundred eight".