226262160 has 240 divisors, whose sum is σ = 802698624. Its totient is φ = 59222016.

The previous prime is 226262123. The next prime is 226262177. The reversal of 226262160 is 61262622.

226262160 is a `hidden beast` number, since 22 + 626 + 2 + 16 + 0 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2002264 + ... + 2002376.

Almost surely, 2^226262160 is an apocalyptic number.

226262160 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 226262160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401349312).

226262160 is an abundant number, since it is smaller than the sum of its proper divisors (576436464).

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

226262160 is a wasteful number, since it uses less digits than its factorization.

226262160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

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

The square root of 226262160 is about 15042.0131631374. The cubic root of 226262160 is about 609.3553702552.

The spelling of 226262160 in words is "two hundred twenty-six million, two hundred sixty-two thousand, one hundred sixty".