226828411200 has 504 divisors, whose sum is σ = 831388667928. Its totient is φ = 58611548160.

The previous prime is 226828411177. The next prime is 226828411211. The reversal of 226828411200 is 2114828622.

226828411200 is a `hidden beast` number, since 2 + 268 + 284 + 112 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17620969536 + 209207441664 = 132744^2 + 457392^2 .

It is a super-2 number, since 2×226828411200² (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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156109674 + ... + 156111126.

Almost surely, 2^226828411200 is an apocalyptic number.

226828411200 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 226828411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415694333964).

226828411200 is an abundant number, since it is smaller than the sum of its proper divisors (604560256728).

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

226828411200 is a wasteful number, since it uses less digits than its factorization.

226828411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 226828411200 in words is "two hundred twenty-six billion, eight hundred twenty-eight million, four hundred eleven thousand, two hundred".