226838966112 has 288 divisors, whose sum is σ = 739628547840. Its totient is φ = 65274485760.

The previous prime is 226838966041. The next prime is 226838966117. The reversal of 226838966112 is 211669838622.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×226838966112² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226838966117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10116898 + ... + 10139294.

It is an arithmetic number, because the mean of its divisors is an integer number (2568154680).

Almost surely, 2^226838966112 is an apocalyptic number.

226838966112 is a gapful number since it is divisible by the number (22) 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 226838966112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369814273920).

226838966112 is an abundant number, since it is smaller than the sum of its proper divisors (512789581728).

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

226838966112 is a wasteful number, since it uses less digits than its factorization.

226838966112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22586 (or 22575 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 226838966112 in words is "two hundred twenty-six billion, eight hundred thirty-eight million, nine hundred sixty-six thousand, one hundred twelve".