226096640 has 320 divisors, whose sum is σ = 716525568. Its totient is φ = 66355200.

The previous prime is 226096631. The next prime is 226096667. The reversal of 226096640 is 46690622.

226096640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×226096640² = 102239381238579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 226096640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6110702 + ... + 6110738.

Almost surely, 2^226096640 is an apocalyptic number.

226096640 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 226096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358262784).

226096640 is an abundant number, since it is smaller than the sum of its proper divisors (490428928).

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

226096640 is a wasteful number, since it uses less digits than its factorization.

226096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 226096640 is about 15036.5102334285. The cubic root of 226096640 is about 609.2067445705.

The spelling of 226096640 in words is "two hundred twenty-six million, ninety-six thousand, six hundred forty".