226321920 has 480 divisors, whose sum is σ = 919226880. Its totient is φ = 50872320.

The previous prime is 226321919. The next prime is 226321961. The reversal of 226321920 is 29123622.

226321920 is a `hidden beast` number, since 2 + 2 + 632 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×226321920² = 102443222944972800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4815337 + ... + 4815383.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^226321920 is an apocalyptic number.

226321920 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 226321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

226321920 is an abundant number, since it is smaller than the sum of its proper divisors (692904960).

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

226321920 is a wasteful number, since it uses less digits than its factorization.

226321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 226321920 is about 15043.9994682265. Note that the first 3 decimals coincide. The cubic root of 226321920 is about 609.4090128550.

The spelling of 226321920 in words is "two hundred twenty-six million, three hundred twenty-one thousand, nine hundred twenty".