227664144 has 60 divisors (see below), whose sum is σ = 652700412. Its totient is φ = 74035200.

The previous prime is 227664133. The next prime is 227664149. The reversal of 227664144 is 441466722.

227664144 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 641 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28515600 + 199148544 = 5340^2 + 14112^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 227664099 and 227664108.

It is not an unprimeable number, because it can be changed into a prime (227664149) 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 11 ways as a sum of consecutive naturals, for example, 13377 + ... + 25184.

Almost surely, 2^227664144 is an apocalyptic number.

227664144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

227664144 is an abundant number, since it is smaller than the sum of its proper divisors (425036268).

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

227664144 is a wasteful number, since it uses less digits than its factorization.

227664144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38616 (or 38607 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 227664144 is about 15088.5434684730. The cubic root of 227664144 is about 610.6113587669.

The spelling of 227664144 in words is "two hundred twenty-seven million, six hundred sixty-four thousand, one hundred forty-four".