226273536 has 216 divisors, whose sum is σ = 710269560. Its totient is φ = 69009408.

The previous prime is 226273529. The next prime is 226273543. The reversal of 226273536 is 635372622.

It is a happy number.

226273536 is a `hidden beast` number, since 22 + 627 + 3 + 5 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (226273529) and next prime (226273543).

It can be written as a sum of positive squares in 4 ways, for example, as 106502400 + 119771136 = 10320^2 + 10944^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 226273536.

It is a congruent number.

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, 2075850 + ... + 2075958.

It is an arithmetic number, because the mean of its divisors is an integer number (3288285).

Almost surely, 2^226273536 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 226273536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355134780).

226273536 is an abundant number, since it is smaller than the sum of its proper divisors (483996024).

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

226273536 is a wasteful number, since it uses less digits than its factorization.

226273536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 226273536 is about 15042.3912992582. The cubic root of 226273536 is about 609.3655824659.

The spelling of 226273536 in words is "two hundred twenty-six million, two hundred seventy-three thousand, five hundred thirty-six".