226291052160 has 384 divisors, whose sum is σ = 828195364800. Its totient is φ = 58393405440.

The previous prime is 226291052153. The next prime is 226291052213. The reversal of 226291052160 is 61250192622.

226291052160 is a `hidden beast` number, since 2 + 2 + 62 + 9 + 10 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16599267 + ... + 16612893.

Almost surely, 2^226291052160 is an apocalyptic number.

226291052160 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 226291052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414097682400).

226291052160 is an abundant number, since it is smaller than the sum of its proper divisors (601904312640).

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

226291052160 is a wasteful number, since it uses less digits than its factorization.

226291052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13717 (or 13668 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 226291052160 in words is "two hundred twenty-six billion, two hundred ninety-one million, fifty-two thousand, one hundred sixty".