226937041200 has 480 divisors, whose sum is σ = 857851641600. Its totient is φ = 56818298880.

The previous prime is 226937041159. The next prime is 226937041207. The reversal of 226937041200 is 2140739622.

226937041200 is a `hidden beast` number, since 2 + 269 + 370 + 4 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×226937041200² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (226937041207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23182707 + ... + 23192493.

It is an arithmetic number, because the mean of its divisors is an integer number (1787190920).

Almost surely, 2^226937041200 is an apocalyptic number.

226937041200 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 226937041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428925820800).

226937041200 is an abundant number, since it is smaller than the sum of its proper divisors (630914600400).

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

226937041200 is a wasteful number, since it uses less digits than its factorization.

226937041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946 (or 9929 counting only the distinct ones).

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

The spelling of 226937041200 in words is "two hundred twenty-six billion, nine hundred thirty-seven million, forty-one thousand, two hundred".