226220640 has 192 divisors, whose sum is σ = 768724992. Its totient is φ = 55756800.

The previous prime is 226220633. The next prime is 226220641. The reversal of 226220640 is 46022622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 226220640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226220641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341910 + ... + 342570.

It is an arithmetic number, because the mean of its divisors is an integer number (4003776).

Almost surely, 2^226220640 is an apocalyptic number.

226220640 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 226220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384362496).

226220640 is an abundant number, since it is smaller than the sum of its proper divisors (542504352).

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

226220640 is a wasteful number, since it uses less digits than its factorization.

226220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 226220640 is about 15040.6329654041. The cubic root of 226220640 is about 609.3180949361.

The spelling of 226220640 in words is "two hundred twenty-six million, two hundred twenty thousand, six hundred forty".