226753968 has 120 divisors (see below), whose sum is σ = 686020080. Its totient is φ = 64350720.

The previous prime is 226753957. The next prime is 226753979. The reversal of 226753968 is 869357622.

It is an interprime number because it is at equal distance from previous prime (226753957) and next prime (226753979).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538398 + ... + 538818.

It is an arithmetic number, because the mean of its divisors is an integer number (5716834).

Almost surely, 2^226753968 is an apocalyptic number.

226753968 is a gapful number since it is divisible by the number (28) 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 226753968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343010040).

226753968 is an abundant number, since it is smaller than the sum of its proper divisors (459266112).

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

226753968 is a wasteful number, since it uses less digits than its factorization.

226753968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 226753968 is about 15058.3521010767. The cubic root of 226753968 is about 609.7965531341.

The spelling of 226753968 in words is "two hundred twenty-six million, seven hundred fifty-three thousand, nine hundred sixty-eight".