226583040 has 160 divisors (see below), whose sum is σ = 732828096. Its totient is φ = 59719680.

The previous prime is 226583029. The next prime is 226583047. The reversal of 226583040 is 40385622.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 226582989 and 226583007.

It is not an unprimeable number, because it can be changed into a prime (226583047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251750 + ... + 1251930.

Almost surely, 2^226583040 is an apocalyptic number.

226583040 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 226583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366414048).

226583040 is an abundant number, since it is smaller than the sum of its proper divisors (506245056).

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

226583040 is a wasteful number, since it uses less digits than its factorization.

226583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

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

The square root of 226583040 is about 15052.6755096893. The cubic root of 226583040 is about 609.6432923009.

The spelling of 226583040 in words is "two hundred twenty-six million, five hundred eighty-three thousand, forty".