226171520 has 128 divisors (see below), whose sum is σ = 565194240. Its totient is φ = 86482944.

The previous prime is 226171513. The next prime is 226171523. The reversal of 226171520 is 25171622.

It is a Cunningham number, because it is equal to 15039²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×226171520² = 102307112918220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226171520.

It is not an unprimeable number, because it can be changed into a prime (226171523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2195789 + ... + 2195891.

It is an arithmetic number, because the mean of its divisors is an integer number (4415580).

Almost surely, 2^226171520 is an apocalyptic number.

226171520 is a gapful number since it is divisible by the number (20) 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 226171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282597120).

226171520 is an abundant number, since it is smaller than the sum of its proper divisors (339022720).

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

226171520 is a wasteful number, since it uses less digits than its factorization.

226171520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 226171520 is about 15038.9999667531. Note that the first 4 decimals coincide. The cubic root of 226171520 is about 609.2739906914.

The spelling of 226171520 in words is "two hundred twenty-six million, one hundred seventy-one thousand, five hundred twenty".