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227686420 = 22513875717
BaseRepresentation
bin11011001001000…
…11100000010100
3120212102200001101
431210203200110
5431241431140
634332035444
75433205543
oct1544434024
9525380041
10227686420
111075831a5
1264302b84
133822c1c0
142234c15a
1514ec799a
hexd923814

227686420 has 24 divisors (see below), whose sum is σ = 514922184. Its totient is φ = 84068736.

The previous prime is 227686409. The next prime is 227686429. The reversal of 227686420 is 24686722.

It can be written as a sum of positive squares in 4 ways, for example, as 18421264 + 209265156 = 4292^2 + 14466^2 .

It is a super-2 number, since 2×2276864202 = 103682211704832800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 227686420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227686429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437599 + ... + 438118.

It is an arithmetic number, because the mean of its divisors is an integer number (21455091).

Almost surely, 2227686420 is an apocalyptic number.

227686420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

227686420 is an abundant number, since it is smaller than the sum of its proper divisors (287235764).

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

227686420 is a wasteful number, since it uses less digits than its factorization.

227686420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875739 (or 875737 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 227686420 is about 15089.2816263731. The cubic root of 227686420 is about 610.6312733873.

The spelling of 227686420 in words is "two hundred twenty-seven million, six hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 875717 1751434 3502868 4378585 8757170 11384321 17514340 22768642 45537284 56921605 113843210 227686420