226640160 has 192 divisors, whose sum is σ = 828092160. Its totient is φ = 57784320.

The previous prime is 226640159. The next prime is 226640173. The reversal of 226640160 is 61046622.

It is a happy number.

226640160 is a `hidden beast` number, since 2 + 2 + 6 + 640 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98220 + ... + 100500.

It is an arithmetic number, because the mean of its divisors is an integer number (4312980).

Almost surely, 2^226640160 is an apocalyptic number.

226640160 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 226640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414046080).

226640160 is an abundant number, since it is smaller than the sum of its proper divisors (601452000).

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

226640160 is a wasteful number, since it uses less digits than its factorization.

226640160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 226640160 is about 15054.5727272480. The cubic root of 226640160 is about 609.6945169337.

Adding to 226640160 its reverse (61046622), we get a palindrome (287686782).

The spelling of 226640160 in words is "two hundred twenty-six million, six hundred forty thousand, one hundred sixty".