226419732 has 192 divisors, whose sum is σ = 770918400. Its totient is φ = 55676160.

The previous prime is 226419709. The next prime is 226419737. The reversal of 226419732 is 237914622.

226419732 is a `hidden beast` number, since 2 + 2 + 641 + 9 + 7 + 3 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226419737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157288 + ... + 158720.

It is an arithmetic number, because the mean of its divisors is an integer number (4015200).

Almost surely, 2^226419732 is an apocalyptic number.

226419732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

226419732 is the 7524-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226419732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385459200).

226419732 is an abundant number, since it is smaller than the sum of its proper divisors (544498668).

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

226419732 is a wasteful number, since it uses less digits than its factorization.

226419732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1475 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 226419732 is about 15047.2499813089. The cubic root of 226419732 is about 609.4967918460.

The spelling of 226419732 in words is "two hundred twenty-six million, four hundred nineteen thousand, seven hundred thirty-two".