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226109520 = 2432572131729
BaseRepresentation
bin11010111101000…
…10100001010000
3120202110112221200
431132202201100
5430341001040
634234151200
75413620300
oct1536424120
9522415850
10226109520
111066a647a
1263882500
1337ac9520
142205b600
1514cb5630
hexd7a2850

226109520 has 720 divisors, whose sum is σ = 1041964560. Its totient is φ = 43352064.

The previous prime is 226109509. The next prime is 226109539. The reversal of 226109520 is 25901622.

226109520 is a `hidden beast` number, since 22 + 610 + 9 + 5 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2547216 + 223562304 = 1596^2 + 14952^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2261095202 = 102251030069260800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7796866 + ... + 7796894.

It is an arithmetic number, because the mean of its divisors is an integer number (1447173).

Almost surely, 2226109520 is an apocalyptic number.

226109520 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 226109520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520982280).

226109520 is an abundant number, since it is smaller than the sum of its proper divisors (815855040).

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

226109520 is a wasteful number, since it uses less digits than its factorization.

226109520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 226109520 is about 15036.9385181958. The cubic root of 226109520 is about 609.2183125352.

It can be divided in two parts, 226 and 109520, that added together give a triangular number (109746 = T468).

The spelling of 226109520 in words is "two hundred twenty-six million, one hundred nine thousand, five hundred twenty".