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226794960 = 243257172647
BaseRepresentation
bin11011000010010…
…01110111010000
3120210202101012100
431201021313100
5431024414320
634301000400
75422503540
oct1541116720
9523671170
10226794960
11107024457
1263b53100
1337ca9502
1422199320
1514d9d790
hexd849dd0

226794960 has 240 divisors, whose sum is σ = 922012416. Its totient is φ = 48771072.

The previous prime is 226794923. The next prime is 226794961. The reversal of 226794960 is 69497622.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226794961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 84357 + ... + 87003.

Almost surely, 2226794960 is an apocalyptic number.

226794960 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 226794960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461006208).

226794960 is an abundant number, since it is smaller than the sum of its proper divisors (695217456).

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

226794960 is a wasteful number, since it uses less digits than its factorization.

226794960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 226794960 is about 15059.7131446784. The cubic root of 226794960 is about 609.8332967383.

The spelling of 226794960 in words is "two hundred twenty-six million, seven hundred ninety-four thousand, nine hundred sixty".