226160400 has 120 divisors (see below), whose sum is σ = 728514880. Its totient is φ = 59973120.

The previous prime is 226160399. The next prime is 226160411. The reversal of 226160400 is 4061622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×226160400² = 102297053056320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274389 + ... + 275211.

Almost surely, 2^226160400 is an apocalyptic number.

226160400 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 226160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364257440).

226160400 is an abundant number, since it is smaller than the sum of its proper divisors (502354480).

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

226160400 is a wasteful number, since it uses less digits than its factorization.

226160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 226160400 is about 15038.6302567754. The cubic root of 226160400 is about 609.2640052936.

The spelling of 226160400 in words is "two hundred twenty-six million, one hundred sixty thousand, four hundred".