226141565400 has 288 divisors, whose sum is σ = 787730720400. Its totient is φ = 58091904000.

The previous prime is 226141565389. The next prime is 226141565431. The reversal of 226141565400 is 4565141622.

226141565400 is a `hidden beast` number, since 2 + 2 + 61 + 4 + 1 + 56 + 540 + 0 = 666.

226141565400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226141565400² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6709791 + ... + 6743409.

Almost surely, 2^226141565400 is an apocalyptic number.

226141565400 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 226141565400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393865360200).

226141565400 is an abundant number, since it is smaller than the sum of its proper divisors (561589155000).

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

226141565400 is a wasteful number, since it uses less digits than its factorization.

226141565400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33779 (or 33767 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 226141565400 in words is "two hundred twenty-six billion, one hundred forty-one million, five hundred sixty-five thousand, four hundred".