226179040 has 96 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 83833344.

The previous prime is 226179017. The next prime is 226179073. The reversal of 226179040 is 40971622.

It is a junction number, because it is equal to n+sod(n) for n = 226178993 and 226179011.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 142089 + ... + 143671.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2^226179040 is an apocalyptic number.

226179040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

226179040 is the 7520-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

226179040 is an abundant number, since it is smaller than the sum of its proper divisors (348622880).

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

226179040 is a wasteful number, since it uses less digits than its factorization.

226179040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 226179040 is about 15039.2499812989. The cubic root of 226179040 is about 609.2807432210.

The spelling of 226179040 in words is "two hundred twenty-six million, one hundred seventy-nine thousand, forty".