226168992 has 144 divisors (see below), whose sum is σ = 752431680. Its totient is φ = 63092736.

The previous prime is 226168979. The next prime is 226169017. The reversal of 226168992 is 299861622.

226168992 is a `hidden beast` number, since 22 + 616 + 8 + 9 + 9 + 2 = 666.

226168992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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, 85384 + ... + 87992.

It is an arithmetic number, because the mean of its divisors is an integer number (5225220).

Almost surely, 2^226168992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226168992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376215840).

226168992 is an abundant number, since it is smaller than the sum of its proper divisors (526262688).

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

226168992 is a wasteful number, since it uses less digits than its factorization.

226168992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2664 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 226168992 is about 15038.9159183766. The cubic root of 226168992 is about 609.2717206585.

It can be divided in two parts, 2261 and 68992, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 226168992 in words is "two hundred twenty-six million, one hundred sixty-eight thousand, nine hundred ninety-two".