226190880 has 240 divisors, whose sum is σ = 825479424. Its totient is φ = 58268160.

The previous prime is 226190873. The next prime is 226190893. The reversal of 226190880 is 88091622.

226190880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401479 + ... + 402041.

Almost surely, 2^226190880 is an apocalyptic number.

226190880 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 226190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412739712).

226190880 is an abundant number, since it is smaller than the sum of its proper divisors (599288544).

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

226190880 is a wasteful number, since it uses less digits than its factorization.

226190880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 226190880 is about 15039.6436127988. The cubic root of 226190880 is about 609.2913745600.

The spelling of 226190880 in words is "two hundred twenty-six million, one hundred ninety thousand, eight hundred eighty".