226268640 has 480 divisors, whose sum is σ = 922078080. Its totient is φ = 51757056.

The previous prime is 226268633. The next prime is 226268671. The reversal of 226268640 is 46862622.

226268640 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 226268595 and 226268604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2864121 + ... + 2864199.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^226268640 is an apocalyptic number.

226268640 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 226268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

226268640 is an abundant number, since it is smaller than the sum of its proper divisors (695809440).

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

226268640 is a wasteful number, since it uses less digits than its factorization.

226268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 226268640 is about 15042.2285582955. The cubic root of 226268640 is about 609.3611873792.

The spelling of 226268640 in words is "two hundred twenty-six million, two hundred sixty-eight thousand, six hundred forty".