226590090 has 64 divisors (see below), whose sum is σ = 556156800. Its totient is φ = 59065344.

The previous prime is 226590073. The next prime is 226590097. The reversal of 226590090 is 90095622.

226590090 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×226590090⁴ (a number of 35 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (226590097) 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, 553806 + ... + 554214.

It is an arithmetic number, because the mean of its divisors is an integer number (8689950).

Almost surely, 2^226590090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226590090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278078400).

226590090 is an abundant number, since it is smaller than the sum of its proper divisors (329566710).

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

226590090 is a wasteful number, since it uses less digits than its factorization.

226590090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 226590090 is about 15052.9096855060. The cubic root of 226590090 is about 609.6496151346.

The spelling of 226590090 in words is "two hundred twenty-six million, five hundred ninety thousand, ninety".