226185848100 has 243 divisors, whose sum is σ = 721388458609. Its totient is φ = 59277537600.

The previous prime is 226185848089. The next prime is 226185848197. The reversal of 226185848100 is 1848581622.

The square root of 226185848100 is 475590.

It is a perfect power (a square), and thus also a powerful number.

226185848100 is a `hidden beast` number, since 2 + 2 + 61 + 8 + 584 + 8 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81426905316 + 144758942784 = 285354^2 + 380472^2 .

It is a super-2 number, since 2×226185848100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1184219005 + ... + 1184219195.

Almost surely, 2^226185848100 is an apocalyptic number.

226185848100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

226185848100 is the 475590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226185848100

226185848100 is an abundant number, since it is smaller than the sum of its proper divisors (495202610509).

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

226185848100 is a wasteful number, since it uses less digits than its factorization.

226185848100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 226185848100 in words is "two hundred twenty-six billion, one hundred eighty-five million, eight hundred forty-eight thousand, one hundred".