226042216272 has 160 divisors (see below), whose sum is σ = 655740450560. Its totient is φ = 74545712640.

The previous prime is 226042216271. The next prime is 226042216331. The reversal of 226042216272 is 272612240622.

226042216272 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 4 + 2 + 21 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226042216271) 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, 71058522 + ... + 71061702.

It is an arithmetic number, because the mean of its divisors is an integer number (4098377816).

Almost surely, 2^226042216272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226042216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327870225280).

226042216272 is an abundant number, since it is smaller than the sum of its proper divisors (429698234288).

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

226042216272 is a wasteful number, since it uses less digits than its factorization.

226042216272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 226042216272 its reverse (272612240622), we get a palindrome (498654456894).

The spelling of 226042216272 in words is "two hundred twenty-six billion, forty-two million, two hundred sixteen thousand, two hundred seventy-two".