226417968 has 240 divisors, whose sum is σ = 781574976. Its totient is φ = 59719680.

The previous prime is 226417967. The next prime is 226417969. The reversal of 226417968 is 869714622.

It is a happy number.

226417968 is a `hidden beast` number, since 226 + 417 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (226417967) and next prime (226417969).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (226417967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1250838 + ... + 1251018.

Almost surely, 2^226417968 is an apocalyptic number.

226417968 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 226417968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390787488).

226417968 is an abundant number, since it is smaller than the sum of its proper divisors (555157008).

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

226417968 is a wasteful number, since it uses less digits than its factorization.

226417968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 226417968 is about 15047.1913658330. The cubic root of 226417968 is about 609.4952090111.

The spelling of 226417968 in words is "two hundred twenty-six million, four hundred seventeen thousand, nine hundred sixty-eight".