226564140 has 96 divisors (see below), whose sum is σ = 695068416. Its totient is φ = 54685440.

The previous prime is 226564133. The next prime is 226564141. The reversal of 226564140 is 41465622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 226564098 and 226564107.

It is not an unprimeable number, because it can be changed into a prime (226564141) 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, 186174 + ... + 187386.

It is an arithmetic number, because the mean of its divisors is an integer number (7240296).

Almost surely, 2^226564140 is an apocalyptic number.

226564140 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 226564140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347534208).

226564140 is an abundant number, since it is smaller than the sum of its proper divisors (468504276).

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

226564140 is a wasteful number, since it uses less digits than its factorization.

226564140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 226564140 is about 15052.0477012266. The cubic root of 226564140 is about 609.6263410783.

It can be divided in two parts, 22656 and 4140, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 226564140 in words is "two hundred twenty-six million, five hundred sixty-four thousand, one hundred forty".