226381680 has 120 divisors (see below), whose sum is σ = 868893792. Its totient is φ = 51743232.

The previous prime is 226381679. The next prime is 226381681. The reversal of 226381680 is 86183622.

226381680 is a `hidden beast` number, since 2 + 2 + 638 + 16 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226381679) and next prime (226381681).

It is a tau number, because it is divible by the number of its divisors (120).

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 (226381681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17419 + ... + 27498.

Almost surely, 2^226381680 is an apocalyptic number.

226381680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226381680 is an abundant number, since it is smaller than the sum of its proper divisors (642512112).

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

226381680 is a wasteful number, since it uses less digits than its factorization.

226381680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44943 (or 44934 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 226381680 is about 15045.9855110923. The cubic root of 226381680 is about 609.4626460127.

The spelling of 226381680 in words is "two hundred twenty-six million, three hundred eighty-one thousand, six hundred eighty".