226214135532 has 192 divisors, whose sum is σ = 731496729600. Its totient is φ = 58732853760.

The previous prime is 226214135519. The next prime is 226214135597. The reversal of 226214135532 is 235531412622.

226214135532 is a `hidden beast` number, since 2 + 2 + 62 + 1 + 41 + 3 + 553 + 2 = 666.

It is a super-2 number, since 2×226214135532² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30041944 + ... + 30049472.

It is an arithmetic number, because the mean of its divisors is an integer number (3809878800).

Almost surely, 2^226214135532 is an apocalyptic number.

226214135532 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 226214135532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365748364800).

226214135532 is an abundant number, since it is smaller than the sum of its proper divisors (505282594068).

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

226214135532 is a wasteful number, since it uses less digits than its factorization.

226214135532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173 (or 11165 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 226214135532 in words is "two hundred twenty-six billion, two hundred fourteen million, one hundred thirty-five thousand, five hundred thirty-two".