226093680 has 400 divisors, whose sum is σ = 862069824. Its totient is φ = 54743040.

The previous prime is 226093669. The next prime is 226093687. The reversal of 226093680 is 86390622.

It is a super-2 number, since 2×226093680² = 102236704271884800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226093687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5514460 + ... + 5514500.

Almost surely, 2^226093680 is an apocalyptic number.

226093680 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 226093680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

226093680 is an abundant number, since it is smaller than the sum of its proper divisors (635976144).

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

226093680 is a wasteful number, since it uses less digits than its factorization.

226093680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226093680 is about 15036.4118060128. The cubic root of 226093680 is about 609.2040860320.

The spelling of 226093680 in words is "two hundred twenty-six million, ninety-three thousand, six hundred eighty".