226691137800 has 72 divisors (see below), whose sum is σ = 761304410490. Its totient is φ = 60450969600.

The previous prime is 226691137769. The next prime is 226691137801. The reversal of 226691137800 is 8731196622.

226691137800 is a `hidden beast` number, since 2 + 266 + 9 + 11 + 378 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 174084210756 + 52606927044 = 417234^2 + 229362^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (226691137801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62967961 + ... + 62971560.

Almost surely, 2^226691137800 is an apocalyptic number.

226691137800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226691137800 is an abundant number, since it is smaller than the sum of its proper divisors (534613272690).

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

226691137800 is a wasteful number, since it uses less digits than its factorization.

226691137800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125939543 (or 125939531 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 226691137800 in words is "two hundred twenty-six billion, six hundred ninety-one million, one hundred thirty-seven thousand, eight hundred".