226208832200 has 180 divisors, whose sum is σ = 572639474565. Its totient is φ = 83103546240.

The previous prime is 226208832167. The next prime is 226208832203. The reversal of 226208832200 is 2238802622.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 143863938436 + 82344893764 = 379294^2 + 286958^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336310.

It is not an unprimeable number, because it can be changed into a prime (226208832203) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1136727701 + ... + 1136727899.

Almost surely, 2^226208832200 is an apocalyptic number.

226208832200 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 226208832200

226208832200 is an abundant number, since it is smaller than the sum of its proper divisors (346430642365).

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

226208832200 is an frugal number, since it uses more digits than its factorization.

226208832200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 226208832200 in words is "two hundred twenty-six billion, two hundred eight million, eight hundred thirty-two thousand, two hundred".