226152216043200 has 840 divisors, whose sum is σ = 888090967121600. Its totient is φ = 56280416163840.

The previous prime is 226152216043153. The next prime is 226152216043231. The reversal of 226152216043200 is 2340612251622.

226152216043200 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 5 + 2 + 21 + 604 + 3 + 20 + 0 = 666.

It is a super-2 number, since 2×226152216043200² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 164295411 + ... + 165666189.

Almost surely, 2^{226152216043200} is an apocalyptic number.

226152216043200 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 226152216043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444045483560800).

226152216043200 is an abundant number, since it is smaller than the sum of its proper divisors (661938751078400).

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

226152216043200 is a wasteful number, since it uses less digits than its factorization.

226152216043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370899 (or 1370875 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 226152216043200 its reverse (2340612251622), we get a palindrome (228492828294822).

The spelling of 226152216043200 in words is "two hundred twenty-six trillion, one hundred fifty-two billion, two hundred sixteen million, forty-three thousand, two hundred".